How can I find $\int_0^{\pi/2}x\cot x\,dx$?
7835
Tricky elementary integral $\int_{0}^{\frac{\pi}{2}}x\cot(x)dx$.
138355
Improper rational/trig integral comes out to $\pi/e$
151127
Confirm that $\int_{0}^{\infty}t^{-1}\sin t dt=\pi/2$
118800
Calculating $\int_0^\pi \log(1-2a\cos (x)+a^2)\,dx$
113066
Calculate $\int_0^1f(x)dx$
106803
How to see $\cos x \leq \exp(-x^2/2)$ on $x \in [0,\pi/2]$?
126576
Most efficient way to integrate $\int_0^\pi \sqrt{4\sin^2 x - 4\sin x + 1}\,dx$?
151344
Finding $\int_{0}^{1}\int_{0}^{1}\int_{0}^{1} \left\{\frac{x}{y}\right\} \left\{\frac{y}{z}\right\}\left\{\frac{z}{x}\right\} dx\space dy\space dz $
24022
Compute $\int _0 ^{2\pi} (\sum_{n=1}^\infty \frac {\cos(nx)}{2^n})^2 dx$
121071
Calculation of $\int^{\pi/2}_{0}\cos^{n}(x)\cos (nx)\,dx$, where $n\in \mathbb{N}$
31448
Calculate $\int\left( \sqrt{\tan x}+\sqrt{\cot x}\right)dx$
6571
A Challenging Integral $\int_0^{\frac{\pi}{2}}\log \left( x^2+\log^2(\cos x)\right)dx$
62450
Computing $ \int_0^{2\pi} \frac{1}{a^2\cos^2 t+b^2 \sin^2 t} dt \;; a,b>0$.
12604
Evaluate $\int_0^\pi xf(\sin x)dx$
130058
Evaluate $\int_0^{\pi} e^{a\cos(t)}\cos(a\sin t)dt$
62173
How do I show that $\int_0^\infty \frac{\sin(ax) \sin(bx)}{x^{2}} \, \mathrm dx = \pi \min(a,b)/2$
135447
Compute the integral $\int_0^{\frac\pi2}\frac{\mathrm d \theta}{\sqrt{\sin \theta}}$