In my recent reading, I find myself stumbing across integral identities such as(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\int_{0}^{\infty} \frac{x dx}{e^{ax} + 1} = \frac{\pi^2}{12a^2}

[/tex]

and

[tex]

\int_{0}^{2\pi} \frac{cos(\theta) d\theta}{A + B cos(\theta)} = \frac{2\pi}{B}(1 - \frac{A}{\sqrt{A^2 - B^2}})

[/tex]

Can anyone recommend a textbook that would assist me in tackling identities such as these?

(Parenthetically, am I wrong in thinking that these are slightly beyond the ordinary Calculus I techniques of integration? I suspect that the first can be tackled by contour integration, and progress on the second might be possible using a substitution such as [tex]u = tan(\theta / 2)[/tex], but neither one is exactly clear to me, which is why I think a good textbook would be helpful.)

Thanks in advance.

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# Homework Help: Suggested textbook for techniques of integration?

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