Compute $\int_{0}^{\frac{\pi}{2}}\frac{\sin(x)\cos(x)}{x+1} dx$
105976
Calculate the integral using another integral
7835
Tricky elementary integral $\int_{0}^{\frac{\pi}{2}}x\cot(x)dx$.
51489
Simplifying the integral $\int\frac{dx}{(3 + 2\sin x - \cos x)}$ by an easy approach
115598
Evaluating $\int_{0}^{1} dx\frac{\log(1+x)}{1 + x^2}$
95426
How to compute $ \frac{1}{\sqrt{2\pi}} \int_{-\infty}^\infty \frac{e^{-{x^2}/{2}}}{1+e^{-(ax+b)}}\,\mathrm dx $ when $b \ne 0$
70013
How to calculate $\int \frac{x^2 }{(x^2+1)^2} dx$?
115759
Evaluating this integral : $ \int \frac {1-7\cos^2x} {\sin^7x \cos^2x} dx $
21375
The integral $\int_0^\infty \dfrac{x \sin(x)}{x^2+1} dx$
89387
Integrate : $\int \frac{x^2}{(x\cos x -\sin x)(x\sin x +\cos x)}dx$
58909
Evaluation of $\int\frac{dx}{x+ \sqrt{x^2-x+1}}$
119725
How would one evaluate $\int\frac{x\sin(x)}{x^2+1}$ over the real line?
77002
$\int_{0}^{\frac{\pi}{2}}\frac{d\theta}{a + \sin^2(\theta)} = \frac{\pi}{2\sqrt{a(a+1)}}$, for $a > 0$
151063
Calculate $\int_{0}^{\frac{\pi}{2}}\frac{\sin^{3}(t)}{\sin^{3}(t)+\cos^{3}(t)}dt$ by hands
139297
Find the sign of $\int_{0}^{2 \pi}\frac{\sin x}{x} dx$
155422
Evaluating $\int_{0}^{\frac{\pi}{2}}\frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}}\, \mathrm{d}x$
109901
Computing $\int_0^\infty\frac1{(x+1)(x+2)\cdots(x+n)}\mathrm dx $
100401
Evaluate $\int \frac{1}{(x^2+1)^2}dx$