Evaluate $ \int_{-\pi/2}^{\pi/2} \frac{\cos(x)}{1+e^x} dx$
62524
Showing that $\int\limits_{-a}^a \frac{f(x)}{1+e^{x}} \mathrm dx = \int\limits_0^a f(x) \mathrm dx$, when $f$ is even
53554
Evaluate $\int \cos(\cos x)~dx$
29602
Integral $ \int_{-\pi/2}^{\pi/2} \frac{1}{2007^x+1}\cdot \frac{\sin^{2008}x}{\sin^{2008}x+\cos^{2008}x}dx $
60654
Integrate $\int_0^{2 \pi } \frac{1}{(a+b \cos^2 (x))^2} \, \mathrm{d}x$
96414
Using residues to evaluate the integral $\int_{-\pi}^{\pi} \frac{\cos(n\theta)}{1-2a\cos(\theta)+a^2}d\theta$, $|a|<1$
142619
Evaluating the complex integral $\int_{|z|=2}^{}\frac{1}{z^2+1}dz$
150843
Evaluation of $\int_0^{\pi/4} \sqrt{\tan x} \sqrt{1-\tan x}\,\,dx$
67608
Integration of $1/(x^2+x\sqrt{x})$
122913
Evaluate $\int \frac{\sec^{2}{x}}{(\sec{x} + \tan{x})^{5/2}} \ \mathrm dx$
100401
Evaluate $\int \frac{1}{(x^2+1)^2}dx$
27910
How to evaluate $\int_0^{2\pi} \frac{d\theta}{A+B\cos\theta}$?
58909
Evaluation of $\int\frac{dx}{x+ \sqrt{x^2-x+1}}$
24589
Integral of $1/(x^2-1)^2$
124401
How to evaluate $\int_0^{2\pi}\frac{1}{(1+a\cos {\theta})^2}\,d\theta$ without contour integration?
130736
Integrating $\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$
9653
Evaluate the integral $\int^{\frac{\pi}{2}}_0 \frac{\sin^3x}{\sin^3x+\cos^3x}\,\mathrm dx$.
119669
Evaluate $\int \frac{1}{\sin x\cos x} dx $