Sunday 22 February 2015

real analysis - How to calculate the improper integral $int_{0}^{infty}Big(frac{x}{mathrm{e}^x-mathrm{e}^{-x}}-frac{1}{2}Big)frac{mathrm{d}x}{x^2}$

How to calculate the improper integral
$$\int_{0}^{\infty}\Big(\frac{x}{\mathrm{e}^x-\mathrm{e}^{-x}}-\frac{1}{2}\Big)\frac{\mathrm{d}x}{x^2}$$
Do you have same idea?

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