AngouriMath

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AngouriMath

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APowerTimesAnExponential​(System.​Int32,​AngouriMath.​Entity,​AngouriMath.​Entity,​AngouriMath.​Entity.​Variable)

 Method (no overloads)

Summary

int u^m e^(k u) du, where exponential is e^(k u), as its
elementary part and the coefficient of Ei(k u) in it:
e^(k u) sum_i (-1)^i m!/(m - i)! u^(m - i)/k^(i + 1) for m >= 0, Ei(k u) for
m = -1, and by parts toward it below that. Kept apart, so that where the
coefficients of Ei cancel across the terms of a sum the answer is seen to be
elementary, and left to the rules that write it shortest.

























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