Evaluate $\int^{\pi}_0\frac{x\sin(x)}{1+\cos^2(x)}dx$
130736
Integrating $\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$
156485
How to evaluate $\int_{0}^{2\pi}e^{\cos \theta}\cos( \sin \theta) d\theta$?
20016
How to integrate $\int_0^{\pi/2}\frac{\sin^nx}{\sin^nx+\cos^nx}dx$?
35861
Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$
64417
Integration of $\int \frac{x^2+20}{(x \sin x+5 \cos x)^2}dx$
102156
Integral of $\int_0^{\pi/2} \frac {\sqrt{\sin x}}{\sqrt {\sin x} + \sqrt {\cos x}}$dx
100401
Evaluate $\int \frac{1}{(x^2+1)^2}dx$
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
119725
How would one evaluate $\int\frac{x\sin(x)}{x^2+1}$ over the real line?
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$
65028
Evaluate $\int\frac {\csc^2{x}-2005}{\cos^{2005}{x}} dx $
147759
Integral $ \dfrac { \int_0^{\pi/2} (\sin x)^{\sqrt 2 + 1} dx} { \int_0^{\pi/2} (\sin x)^{\sqrt 2 - 1} dx} $
37097
Integral $\int \frac{\sqrt{\sin x}}{\sqrt{\sin x} + \sqrt{\cos x}} dx$
144811
Calculate $\int_0^{2\pi} \frac{1}{2+\sin(x)} \ dx$
29322
Evaluate $\int_{0}^{\frac{\pi}{2}} \frac{\sin^2 nx}{\sin x} \text{d}x$
24022
Compute $\int _0 ^{2\pi} (\sum_{n=1}^\infty \frac {\cos(nx)}{2^n})^2 dx$
97582
How do I evaluate this integral $\int_0^\pi{\frac{{{x^2}}}{{\sqrt 5-2\cos x}}}\operatorname d\!x$?