Integration

**kjchauhan** · February 26th 2011, 03:18 PM

Please help me to solve the integral:::

$\int^{4}_{0} \log(1+\tan x)dx$

thanks in advance..

**skeeter** · February 26th 2011, 03:49 PM

Originally Posted by kjchauhan

Please help me to solve the integral:::

$\int^{4}_{0} \log(1+\tan x)dx$

thanks in advance..

note that $y = \log(1+\tan{x})$ has an infinite discontinuity between $x = 0$ and $x = 4$ , specifically, at $x = \dfrac{\pi}{2}$ , making it improper.

do you think it converges?

**kjchauhan** · February 27th 2011, 12:47 AM

You are right, it is not, but this is printed in book, so i confused.

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