Integral Of E X

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Integral Of E X

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Integral of e x 2

Integral Of E x 2

How can I solve this indefinite integral for an arbitrary integer n gt 0 int x n e x dx I could partially integrate it for small n but that s not really a solution $$\int_0^\infty \frac {x} {e^x-1} dx = \sum_ {n=1}^\infty 1/n^2 = \frac {\pi^2} {6}.$$ There are various convergence theorems that can be used to justify this interchange of infinite summation and …

Integral of e x 2

Integral Of E x 2

Integral Of E XThen your original integral goes from: $$ \int e^ {f (x)}dx $$ to $$ \int \frac {e^u} {f' (x)}du. $$ Of course, this is not always so easy to integrate, as Moron points out. I made up some integrals to do for fun and I had a real problem with this one I ve since found out that there s no solution in terms of elementary functions but when I attempt to integrate it I