1. ## Integration

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

2. Originally Posted by kjchauhan

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

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?

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