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Exp






Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Integration > Indefinite integration > Involving functions of the direct function and a power function > Involving products of the direct function and a power function > Involving products of two direct functions and a power function > Involving znad z+e hc zr





http://functions.wolfram.com/01.03.21.0569.01









  


  










Input Form





Integrate[z^n a^(d z + e) h^(c z^2), z] == ((-(1/2)) a^e (c Log[h])^(-1 - n) Sum[2^(j - n) Binomial[n, j] Gamma[(1 + j)/2, -((d Log[a] + 2 c z Log[h])^2/(4 c Log[h]))] ((-d) Log[a])^(-j + n) (d Log[a] + 2 c z Log[h])^(1 + j) (-((d Log[a] + 2 c z Log[h])^2/(c Log[h])))^((1/2) (-1 - j)), {j, 0, n}])/E^((d^2 Log[a]^2)/(4 c Log[h])) /; Element[n, Integers] && n >= 0










Standard Form





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MathML Form







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Rule Form





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2002-12-18





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