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I'm studying Sterman-Weinberg Jets in QFT and I came about with this integral. Despite it is very simple, I can't solve it.

The integral is

[tex]

\int_{\theta=\pi-\delta}^{\theta=\pi}\frac{d\cos (\theta)}{1-\cos^2(\theta)}

[/tex]

Solving it I get

[tex]

\frac{1}{2}\left[\log\left(\frac{1+\cos\delta}{1-\cos\delta}\right)-\log\left(\frac{1-\cos\delta}{1+\cos\delta}\right)\right]

[/tex]

However, the text states that the result is proportional to

[tex]

\log\delta^2

[/tex]

Any ideas?

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# Help with an integral

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