How to evaluate this integral ? $$\int_0^{\frac{\pi}{2}}(\ln(\tan x))^2dx$$I changed it to$$\int_{-\infty}^{\infty}\frac{x^2e^x}{e^{2x}+1}dx$$Thanks in advance.
How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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