Calculate $\int_0^\pi{x\sin{x} \over 1+\cos^2x}dx$
90313
Integrate $\int_0^\pi{{x\sin x}\over{1+\cos^2x}}dx$.
130736
Integrating $\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$
117446
calculation of $\int_{0}^{1}\tan^{-1}(1-x+x^2)dx$
147641
How to evaluate $\int \frac { \sin x+\cos x }{ \sin^4 x+\cos^4x}\, dx$?
20016
How to integrate $\int_0^{\pi/2}\frac{\sin^nx}{\sin^nx+\cos^nx}dx$?
118701
Evaluate $\int_{0}^{\frac{\pi }{2}}\frac{x dx}{\sin x +\cos x}$
54638
Integral $\int^{ \pi /2}_{0} \ln (\sin x)\ dx$
55738
Evaluating $\int _0^{\frac{\pi }{2}}\:\frac{\sqrt[3]{\sin^2\left(x\right)}}{\sqrt[3]{\sin^2\left(x\right)}+\sqrt[3]{\cos^2\left(x\right)}}dx$
29322
Evaluate $\int_{0}^{\frac{\pi}{2}} \frac{\sin^2 nx}{\sin x} \text{d}x$
57224
Compute $\int_0^\infty \frac{dx}{1+x^3}$
135447
Compute the integral $\int_0^{\frac\pi2}\frac{\mathrm d \theta}{\sqrt{\sin \theta}}$
148613
Integrate $\int_{0}^{1}{x^{-x}(1-x)^{x-1}\sin{\pi x}dx}$
29370
Trig integral $\int ( \cos{x} + \sin{x}\cos{x}) \, dx $
123500
Integration of $\frac {1}{1+\sin x}$
117587
$\int_{0}^{1}\frac{\sin^{-1}\sqrt x}{x^2-x+1}dx$
59667
Evaluating $\int_0^\infty\frac{\sin(x)}{x^2+1}\, dx$
151063
Calculate $\int_{0}^{\frac{\pi}{2}}\frac{\sin^{3}(t)}{\sin^{3}(t)+\cos^{3}(t)}dt$ by hands