Evaluating $\int_0^{2\pi}\frac{dt}{(a+b\cos(t))^2}=\frac{2\pi a}{(a^2-b^2)^{3/2}}$ using Residue theorem
67326
How to solve $ \int \limits _0 ^{2\pi} \dfrac{dx}{(\alpha +\beta\cos x)^2} $
116778
Calculation of an integral via residue.
153867
Evaluate $ \int_{0}^{\frac{\pi}2}\frac1{(1+x^2)(1+\tan x)}\:\mathrm dx$
81258
Evaluation of $\int_{-\infty}^\infty \frac{\sin(at)}t\ dt$
60654
Integrate $\int_0^{2 \pi } \frac{1}{(a+b \cos^2 (x))^2} \, \mathrm{d}x$
147759
Integral $ \dfrac { \int_0^{\pi/2} (\sin x)^{\sqrt 2 + 1} dx} { \int_0^{\pi/2} (\sin x)^{\sqrt 2 - 1} dx} $
24358
Finding $\int \frac{dx}{a+b \cos x}$ without Weierstrass substitution.
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
63427
A Problem with Residue Theorem
65847
To evaluate $\int_{0}^\pi \frac {\sin^2 x}{a^2-2ab \cos x + b^2}\mathrm dx$?
127284
Closed form of $\int_0^{\pi/2} \frac{\arctan^2 (\sin^2 \theta)}{\sin^2 \theta}\,d\theta$
124401
How to evaluate $\int_0^{2\pi}\frac{1}{(1+a\cos {\theta})^2}\,d\theta$ without contour integration?
102156
Integral of $\int_0^{\pi/2} \frac {\sqrt{\sin x}}{\sqrt {\sin x} + \sqrt {\cos x}}$dx
130736
Integrating $\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$
109790
Finding the value of $\int_0^{\pi/2} \frac{dt}{1+(\tan(x))^{\sqrt{2}}}$
151127
Confirm that $\int_{0}^{\infty}t^{-1}\sin t dt=\pi/2$
31716
Calculate :$\int_{0}^{2\pi }e^{R{ {\cos t}}}\cos(R\sin t+3t)\mathrm{d}t$