Evaluate $\int \dfrac{x^2}{(x\cos x-\sin x)(x\sin x+\cos x)}dx$
89387
Integrate : $\int \frac{x^2}{(x\cos x -\sin x)(x\sin x +\cos x)}dx$
115598
Evaluating $\int_{0}^{1} dx\frac{\log(1+x)}{1 + x^2}$
147641
How to evaluate $\int \frac { \sin x+\cos x }{ \sin^4 x+\cos^4x}\, dx$?
27002
Evaluating $\int\limits_0^{\pi} \frac{dx}{1+2\sin^2x}$
51488
Evaluating $\int^\pi_{-\pi} \cos^3(x) \cos(ax)~dx$
90573
Indefinite integral $\int(\sin x)^2/(x\cdot\cos x-\sin x)^2\,dx$
64417
Integration of $\int \frac{x^2+20}{(x \sin x+5 \cos x)^2}dx$
95403
Evaluating $\int \frac{\sec^2 x}{(\sec x + \tan x )^{{9}/{2}}}\,\mathrm dx$
99584
Evaluation of $\int \frac{\sqrt{\sin ^4x+\cos ^4x}}{\sin ^3x \cos x }dx$
37097
Integral $\int \frac{\sqrt{\sin x}}{\sqrt{\sin x} + \sqrt{\cos x}} dx$
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$
138230
Evaluate $ \int^{\frac{\pi}{2}}_0 \frac{\sin x}{\sin x+\cos x}\,dx $ using substitution $t=\frac{\pi}{2}-x$
89499
Evaluating the integral $\int_0^{\frac{\pi}{2}}\log\left(\frac{1+a\cos(x)}{1-a\cos(x)}\right)\frac{1}{\cos(x)}dx$
24808
How to evaluate the integral $\int \sqrt{1+\sin(x)} dx$
18672
Integrate $\int_{0}^{\pi}{\frac{x\cos{x}}{1+\sin^{2}{x}}dx}$
140386
Integrate $\int {\dfrac{x^2+\left(n-1\right)n}{\left(x\sin x+n\cos x\right)^2}}dx $