Integral through complex methods $\int_{0}^{2\pi}\log \sin^{2}2\theta d\theta=4\int_{0}^{\pi}\log \sin\theta d\theta=-4\pi \log 2$
828
Computing the integral of $\log(\sin x)$
30829
A question in Complex Analysis $\int_0^{2\pi}\log(1-2r\cos x +r^2)\,dx$
31493
Complex integral help involving $\sin^{2n}(x)$
118800
Calculating $\int_0^\pi \log(1-2a\cos (x)+a^2)\,dx$
151127
Confirm that $\int_{0}^{\infty}t^{-1}\sin t dt=\pi/2$
135519
How to approach solving $\int_0^{\pi/2} \ln(a^2 \cos^2 x +b^2 \sin^2 x ) dx$
23087
Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis
71988
Evaluate $\int_0^{2\pi} \frac{\sin^2\theta}{5+4\cos\theta}\,\mathrm d\theta$
145183
finding $\int_0^\infty \dfrac{dx}{1+x^4}$ through complex analysis
29322
Evaluate $\int_{0}^{\frac{\pi}{2}} \frac{\sin^2 nx}{\sin x} \text{d}x$
89499
Evaluating the integral $\int_0^{\frac{\pi}{2}}\log\left(\frac{1+a\cos(x)}{1-a\cos(x)}\right)\frac{1}{\cos(x)}dx$
102156
Integral of $\int_0^{\pi/2} \frac {\sqrt{\sin x}}{\sqrt {\sin x} + \sqrt {\cos x}}$dx
129947
Integral of $\log(\sin(x))$ using contour integrals
50735
The integral $\int_0^8 \sqrt{x^4+4x^2}\,dx$
79044
Using the residue theorem, calculate $\int_{0}^{2\pi}\frac{1}{1-2a\cos{\theta}+a^2}d\theta$
10168
Ramanujan log-trigonometric integrals
18841
Ways to evaluate $\int \sec \theta \, \mathrm d \theta$