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CoshIntegral






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > CoshIntegral[z] > Integration > Indefinite integration > Involving functions of the direct function and elementary functions > Involving elementary functions of the direct function and elementary functions > Involving powers of the direct function and a power function





http://functions.wolfram.com/06.40.21.0050.01









  


  










Input Form





Integrate[z^n CoshIntegral[a z]^2, z] == (z^(n + 1)/(n + 1)) CoshIntegral[a z]^2 - ((-1)^n/(2 (n + 1))) a^(-1 - n) (2 CoshIntegral[a z] (Gamma[1 + n, (-a) z] - (-1)^n Gamma[1 + n, a z]) + n! ((-1)^n ExpIntegralEi[-2 a z] - ExpIntegralEi[2 a z] + ((-1)^n - 1) Log[z] - 2 Sum[(1/k!) ((-a)^k (z^k/(2 k) - (2^(-1 - k) Gamma[k, -2 a z])/ (-a)^k)), {k, 1, n}] + 2 (-1)^n Sum[(a^k (z^k/(2 k) - (2^(-1 - k) Gamma[k, 2 a z])/a^k))/k!, {k, 1, n}])) /; Element[n, Integers] && n >= 0










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29





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