How to calculate the integral $\int \frac{a\tan^2{x}+b}{a^2\tan^2{x}+b^2} dx$?
95933
How to evaluate the integral $\int_0^{\pi}\frac{a^n\sin^2x+b^n\cos^2x}{a^{2n}\sin^2x+b^{2n}\cos^2x}dx$?
96759
How do you evaluate the integral $\int\frac{x^2-1}{(x^4+3 x^2+1) \tan^{-1}\left(\frac{x^2+1}{x}\right)}\,dx$?
82170
Solve $x = \frac{1}{2}\tan(x)$
61443
So close yet so far Finding $\int \frac {\sec x \tan x}{3x+5} dx$
145590
Compute the integral $\int\frac{dx}{(x^2-x+1)\sqrt{x^2+x+1}}$
147113
How to solve $2 \tan x / (1 - (\tan x)^2) = (\sin 2x)^2$?
63576
Evaluate the integral $\int \frac{\sec x}{\sqrt{3+\tan x}}dx$
156215
Integral $\int\frac{2x^2}{2x\cos(2x)+(x^2-1)\sin(2x)} \mathrm d x$
44398
How to compute $\int_0^{\pi/2}\frac{\sin^3 t}{\sin^3 t+\cos^3 t}dt$?
89387
Integrate : $\int \frac{x^2}{(x\cos x -\sin x)(x\sin x +\cos x)}dx$
130736
Integrating $\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$
31448
Calculate $\int\left( \sqrt{\tan x}+\sqrt{\cot x}\right)dx$
60654
Integrate $\int_0^{2 \pi } \frac{1}{(a+b \cos^2 (x))^2} \, \mathrm{d}x$
74822
How to evaluate $\int_{0}^{\pi }\theta \ln\tan\frac{\theta }{2} \, \mathrm{d}\theta$
39629
Indefinite integration of $\int \frac{1}{1+\sqrt{x^2+2x+2}}dx$
8225
Calculating the integral $\int_{1/3}^{3}\frac{\arctan(x)}{x^2-x+1}\;\mathrm{d}x$
126054
calculate $\int_o^\pi \frac{x\sin x}{1+\cos^2x} \,dx$