Evaluate the integral $$\int_{0}^{\infty}\frac{e^{ax}-e^{bx}}{(1-e^{ax})(1-e^{bx})}dx$$ for constants $a,b$.
I tried separation by partial fractions, but couldn't do it.
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@T.Bongers, the signs are different. – dfeuer Oct 13 '13 at 06:00
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@dfeuer The solution procedure is still pretty much identical, since $$\frac{1}{1 - x} - \frac{1}{1 - y} = \frac{x - y}{(1 - x)(1 - y)}$$ – Oct 13 '13 at 06:03
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@T.Bongers, that's valid, but it's still not actually an exact duplicate. – dfeuer Oct 13 '13 at 06:04
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@dfeuer Yes, you're right that they aren't the exact same question. – Oct 13 '13 at 06:08