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Exp






Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Integration





Indefinite integration

Involving only one direct function

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Involving one direct function and elementary functions

Involving power function

Involving power

Power arguments and base a

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Power arguments and base e

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Involving zalpha-1, arguments b z and base a

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Involving zalpha-1and arguments a z

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Involving zalpha-1, arguments b z+d and base a

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Involving zalpha-1and arguments a z+b

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Involving zalpha-1, arguments b zr and base a

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Involving zalpha-1and arguments a zr

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Involving zalpha-1, arguments b zr+d and base a

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Involving zalpha-1and arguments a zr+b

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Involving rational functions

Involving (a z+b)-n

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Involving (a z2+b)-n

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Involving (a z2+b z+c)-n

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Involving algebraic functions

Involving (a z+b)beta

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Arguments involving polynomials

Involving a z2+b z+c

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Involving a z2+b z

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Involving a z2+c

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Arguments involving rational functions

Involving a z2+b/z2

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Involving a z2+b/z2+c

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Arguments involving algebraic functions

Involving a z+b z1/2+c

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Involving a z+b z1/2

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Involving a zr+c

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Arguments involving exponential functions

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Arguments involving trigonometric functions

Involving tan

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Involving cot

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Arguments involving hyperbolic functions

Involving tanh

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Involving coth

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Arguments involving inverse trigonometric functions

Involving sin-1

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Involving cos-1

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Involving tan-1

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Involving cot-1

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Involving csc-1

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Involving sec-1

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Arguments involving inverse hyperbolic functions

Involving sinh-1

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Involving cosh-1

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Involving tanh-1

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Involving coth-1

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Involving csch-1

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Involving sech-1

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Arguments involving polynomials or algebraic functions and power factors

Involving power

Involving znda z2+b z

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Involving zn da zr+b z+c

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Involving zalpha-1 da zr+c

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Arguments involving rational functions and power factors

Involving power

Involving z2n da z2+b/z2

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Involving z2n da z2+b/z2+c

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Involving functions of the direct function

Involving powers of the direct function

Involving powers of exp

With arguments c z and base a

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With arguments c z

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With arguments c z+b and base a

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With arguments c z+b

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With arguments c zr and base a

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With arguments c zr

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With arguments c zr+d and base a

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With arguments c zr+d

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With arguments c (zr)p and base a

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With arguments c (zr)p

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With arguments c (zr)p+d and base a

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With arguments c (zr)p+d

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With arguments a z2+b/z2

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With arguments a z2+b/z2+c

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Involving products of the direct function

Involving products of two direct functions

Involving ad z hc z

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Involving ad z hc z+g

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Involving ad z+e hc z+g

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Involving ad z hc zr

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Involving ad z+e hc zr

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Involving ab zrhc zr

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Involving ad z hc zr+g

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Involving ad z+e hc zr+g

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Involving ab zrhc zr+g

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Involving ab zr+ehc zr+g

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Involving ad z hc zr+f z

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Involving ad z+e hc zr+f z

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Involving ab zr hc zr+f z

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Involving ab zr+e hc zr+f z

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Involving ab zr+d z hc zr+f z

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Involving ad z hc zr+f z+g

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Involving ad z+e hc zr+f z+g

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Involving ab zr+e hc zr+f z+g

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Involving ab zr+e hc zr+f z+g

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Involving ab zr+d z hc zr+f z+g

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Involving ab zr+d z+e hc zr+f z+g

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Involving products of several direct functions

Linear arguments

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Involving products of powers of the direct function

Involving product of power of the direct function and the direct function

Involving ec z (ea z)nu

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Involving ec z+d (ea z)nu

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Involving ec z(ea z+b)nu

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Involving ec z+d (ea z+b)nu

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Involving eb zr (ec z)nu

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Involving eb zr+e (ec z)nu

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Involving eb zr+d z (ec z)nu

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Involving eb zr+d z+e (ec z)nu

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Involving eb zr (ef z+g)nu

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Involving eb zr+e (ef z+g)nu

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Involving eb zr+d z (ef z+g)nu

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Involving eb zr+d z+e (ef z+g)nu

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Involving eb z (ec zr)nu

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Involving ed z+e (ec zr)nu

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Involving eb zr (ec zr)nu

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Involving eb zr+e (ec zr)nu

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Involving eb zr+d z (ec zr)nu

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Involving eb zr+d z+e (ec zr)nu

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Involving ed z (ec zr+g)nu

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Involving ed z+e (ec zr+g)nu

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Involving eb zr (ec zr+g)nu

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Involving eb zr+e (ec zr+g)nu

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Involving eb zr+d z (ec zr+g)nu

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Involving eb zr+d z+e (ec zr+g)nu

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Involving ed z (ec zr+f z)nu

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Involving ed z+e (ec zr+f z)nu

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Involving eb zr (ec zr+f z)nu

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Involving eb zr+e (ec zr+f z)nu

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Involving eb zr+d z (ec zr+f z)nu

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Involving eb zr+d z+e (ec zr+f z)nu

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Involving ed z (ec zr+f z+g)nu

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Involving ed z+e (ec zr+f z+g)nu

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Involving eb zr (ec zr+f z+g)nu

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Involving eb zr+e (ec zr+f z+g)nu

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Involving eb zr+d z (ec zr+f z+g)nu

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Involving eb zr+d z+e (ec zr+f z+g)nu

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Involving product of powers of two direct functions

Involving (ec z)mu (ea z)nu

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Involving (ec z)mu (ea z+b)nu

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Involving (ec z+d)mu (ea z+b)nu

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Involving (eb z)mu (ec zr)nu

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Involving (ed z+e)mu (ec zr)nu

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Involving (eb zr)mu (ec zr+g)nu

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Involving (ed z)mu (ec zr+g)nu

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Involving (ed z+e)mu (ec zr+g)nu

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Involving (eb zr)mu (ec zr+g)nu

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Involving (eb zr+e)mu (ec zr+g)nu

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Involving (ed z)mu (ec zr+f z)nu

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Involving (ed z+e)mu (ec zr+f z)nu

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Involving (eb zr)mu (ec zr+f z)nu

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Involving (eb zr+e)mu (ec zr+f z)nu

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Involving (eb zr+d z)mu (ec zr+f z)nu

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Involving (ed z+e)mu (ec zr+f z+g)nu

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Involving (ed z+e)mu (ec zr+f z+g)nu

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Involving (eb zr)mu (ec zr+f z+g)nu

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Involving (eb zr+e)mu (ec zr+f z+g)nu

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Involving (eb zr+d z)mu (ec zr+f z+g)nu

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Involving (eb zr+d z+e)mu (ec zr+f z+g)nu

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Involving rational functions of the direct function

Involving 1/a+b ec z

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Involving (a+b ec z)-n

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Involving ed z/a+b ec z

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Involving ef z(a+b cd z)-n

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Involving 1/a e2d z+b ed z+c

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Involving ee z/a e2d z+b ed z+c

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Other integrals

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Involving algebraic functions of the direct function

Involving (a+b cd z)beta

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Involving ((a+b ec z)nu)beta

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Involving (a+b cd z)beta ef z

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Involving ((a+b ec z)nu)beta ed z

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Involving (a+b ec z)beta(ed z)nu

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Involving (a+b ec z)betaand rational function of ec z

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Involving (a+b e2c z)beta ec z

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Involving ((a+b e2c z)nu)betaec z

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Involving (a+b e2c z)beta(ec z)nu

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Involving ep z (a+b ec z)beta (d+e ec z)nu

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Involving (a e2d z+b ed z+c)beta

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Involving ee z (a e2d z+b ed z+c)beta

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Other integrals

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Involving functions of the direct function and a power function

Involving powers of the direct function and a power function

Involving powers of exp and power

Involving zalpha-1and arguments a z

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Involving zalpha-1and arguments a z+b

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Involving zalpha-1and arguments a zr

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Involving zalpha-1and arguments a zr+b

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Involving znand arguments a zr+b z

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Involving znand arguments a zr+b z+c

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Involving products of the direct function and a power function

Involving products of two direct functions and a power function

Involving zalpha-1ad z hc z

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Involving zalpha-1ad z hc z+g

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Involving zalpha-1ad z+e hc z+g

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Involving znab z hc zr

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Involving znad z+e hc zr

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Involving zalpha-1ab zrhc zr

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Involving znad z hc zr+g

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Involving znad z+e hc zr+g

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Involving zalpha-1ab zrhc zr+g

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Involving zalpha-1ab zr+ehc zr+g

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Involving znad z hc zr+f z

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Involving znad z+e hc zr+f z

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Involving znab zr hc zr+f z

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Involving znab zr+e hc zr+f z

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Involving znab zr+d z hc zr+f z

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Involving znad z hc zr+f z+g

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Involving znad z+e hc zr+f z+g

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Involving znab zr hc zr+f z+g

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Involving znab zr+e hc zr+f z+g

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Involving znab zr+d z hc zr+f z+g

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Involving znab zr+d z+e hc zr+f z+g

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Involving products of powers of the direct function and a power function

Involving product of power of the direct function, the direct function and a power function

Involving zalpha-1ec z (ea z)nu

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Involving zalpha-1ec z+d (ea z)nu

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Involving zalpha-1ec z (ea z+b)nu

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Involving zalpha-1ec z+d (ea z+b)nu

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Involving zneb zr(ec z)nu

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Involving zneb zr+e(ec z)nu

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Involving zneb zr+d z(ec z)nu

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Involving zneb zr+d z+e(ec z)nu

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Involving zneb zr(ef z+g)nu

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Involving zneb zr+e(ef z+g)nu

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Involving zneb zr+d z(ef z+g)nu

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Involving zneb zr+d z+e(ef z+g)nu

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Involving zneb z(ec zr)nu

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Involving zned z+e(ec zr)nu

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Involving zalpha-1eb zr (ec zr)nu

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Involving zalpha-1eb zr+e (ec zr)nu

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Involving zneb zr+d z(ec zr)nu

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Involving zneb zr+d z+e(ec zr)nu

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Involving zned z(ec zr+g)nu

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Involving zned z+e(ec zr+g)nu

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Involving zalpha-1eb zr (ec zr+g)nu

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Involving zalpha-1eb zr+e (ec zr+g)nu

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Involving zneb zr+d z(ec zr+g)nu

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Involving zneb zr+d z+e(ec zr+g)nu

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Involving zned z(ec zr+f z)nu

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Involving zned z+e(ec zr+f z)nu

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Involving zneb zr(ec zr+f z)nu

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Involving zneb zr+e(ec zr+f z)nu

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Involving zneb zr+d z(ec zr+f z)nu

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Involving zneb zr+d z+e(ec zr+f z)nu

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Involving zned z(ec zr+f z+g)nu

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Involving zned z+e(ec zr+f z+g)nu

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Involving zneb zr(ec zr+f z+g)nu

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Involving zneb zr+e(ec zr+f z+g)nu

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Involving zneb zr+d z(ec zr+f z+g)nu

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Involving zneb zr+d z+e(ec zr+f z+g)nu

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Involving product of powers of two direct functions and a power function

Involving zalpha-1(ec z)mu (ea z)nu

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Involving zalpha-1(ec z)mu (ea z+b)nu

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Involving zalpha-1(ec z+d)mu (ea z+b)nu

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Involving zn(eb z)mu (ec zr)nu

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Involving zn(ed z+e)mu (ec zr)nu

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Involving zalpha-1(eb zr)mu (ec zr)nu

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Involving zn(ed z)mu (ec zr+g)nu

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Involving zn(ed z+e)mu (ec zr+g)nu

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Involving zalpha-1(eb zr)mu (ec zr+g)nu

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Involving zalpha-1(eb zr+e)mu (ec zr+g)nu

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Involving zn(ed z)mu (ec zr+f z)nu

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Involving zn(ed z+e)mu (ec zr+f z)nu

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Involving zn(eb zr)mu (ec zr+f z)nu

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Involving zn(eb zr+e)mu (ec zr+f z)nu

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Involving zn(eb zr+d z)mu (ec zr+f z)nu

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Involving zn(ed z)mu (ec zr+f z+g)nu

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Involving zn(ed z+e)mu (ec zr+f z+g)nu

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Involving zn(eb zr)mu (ec zr+f z+g)nu

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Involving zn(eb zr+e)mu (ec zr+f z+g)nu

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Involving zn(eb zr+d z)mu (ec zr+f z+g)nu

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Involving zn(eb zr+d z+e)mu (ec zr+f z+g)nu

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Involving rational functions of the direct function and a power function

Involving zn/a+b ec z

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Involving zn(a+b cd z)-m

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Involving zn ec z/a+b ec z

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Involving zn/a e2d z+b ed z+c

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Involving algebraic functions of the direct function and a power function

Involving zn(a+b cd z)beta

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Involving zn ef z(a+b cd z)beta

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