How to calculate the integration $\int_{0}^{\pi}\frac{dx}{(2-\cos{x})^2}$
130668
Evaluating the integral with trigonometric integrand
125523
How to find $\int_{0}^{\pi/2} \log ({1+\cos x}) dx$ using real-variable methods?
29322
Evaluate $\int_{0}^{\frac{\pi}{2}} \frac{\sin^2 nx}{\sin x} \text{d}x$
6483
Computing $\int_{0}^{\pi}\ln\left(1-2a\cos x+a^2\right) \, dx$
123767
How to integrate $\int \frac{1}{\cos(x)}\,\mathrm dx$
109416
How to calculate $\int_0^1 \frac{\ln(1-x)}{x} dx$?
75562
How to integrate $\int x^2 \sin^2(x)dx$
137551
integral $\int_0^\pi \frac{\cos(2t)}{a^2\sin^2(t)+b^2\cos^2(t)}dt$
70013
How to calculate $\int \frac{x^2 }{(x^2+1)^2} dx$?
31529
Integrating $\int^2_{-2}\frac{x^2}{1+5^x}$
67326
How to solve $ \int \limits _0 ^{2\pi} \dfrac{dx}{(\alpha +\beta\cos x)^2} $
60654
Integrate $\int_0^{2 \pi } \frac{1}{(a+b \cos^2 (x))^2} \, \mathrm{d}x$
118701
Evaluate $\int_{0}^{\frac{\pi }{2}}\frac{x dx}{\sin x +\cos x}$
16800
Integrating $\int_0^{2\pi} \frac1{a\cos(t)+b\sin(t)+c}dt$ with $\sqrt{a^2+b^2}=1<c$
117446
calculation of $\int_{0}^{1}\tan^{-1}(1-x+x^2)dx$
117101
Integrate $\int \frac{dx}{\sqrt{-ax^2 + bx +c}} $
137060
Evaluating $\int_0^{\tfrac{\pi}{4}}\ln(\cos x-\sin x)\ln(\cos x) dx - \int_0^{\tfrac{\pi}{4}}\ln(\cos x+\sin x)\ln(\sin x)dx=\frac{G\ln 2}{2}$