Use the theory of residue to evaluate $\int_0^{2\pi} \frac{\cos(3\theta)d\theta}{5-4\cos(\theta)}$
89601
Rusty at complex integrals, finding error in steps
36586
Evaluating $\frac{1}{2\pi}\int_{0}^{2\pi}\frac{1}{1-2t\cos\theta +t^2}d\theta$
97582
How do I evaluate this integral $\int_0^\pi{\frac{{{x^2}}}{{\sqrt 5-2\cos x}}}\operatorname d\!x$?
18841
Ways to evaluate $\int \sec \theta \, \mathrm d \theta$
148746
Calculating $\int\frac{e^{iz}}{z}\, dz$ on the semi-circle given by $re^{i\theta}$ where $\theta:\,0\to\pi$
101030
Integration $I_n=\int _0^{\pi }\sin^{2n}\theta d\theta $
55738
Evaluating $\int _0^{\frac{\pi }{2}}\:\frac{\sqrt[3]{\sin^2\left(x\right)}}{\sqrt[3]{\sin^2\left(x\right)}+\sqrt[3]{\cos^2\left(x\right)}}dx$
71700
How to solve $\int_0^\pi{\frac{\cos{nx}}{5 + 4\cos{x}}}dx$?
104904
Calculating $\int_0^\infty \frac {\sin^2x}{x^2}dx$ using the Residue Theorem.
152358
integration using residue
95637
Justifying Calculations on $f(n)=\frac{1}{2 \pi}\int_{-\pi}^{\pi}\theta e^{-in \theta} d \theta$
60944
Evaluating an integral with ${\mathrm{d}t}$ in the numerator, $\int \frac{\mathrm{d}t}{\cos(t)^2}$.
31063
Evaluating $\int_0^2(\tan^{-1}(\pi x)-\tan^{-1} x)\,\mathrm{d}x$
90185
Another way to evaluate $\int\frac{\cos5x+\cos4x}{1-2\cos3x}{dx}$?
19475
Evaluate$\int_{-2}^2\int_{y^2-3}^{5-y^2}dxdy$
24022
Compute $\int _0 ^{2\pi} (\sum_{n=1}^\infty \frac {\cos(nx)}{2^n})^2 dx$
7388
Evaluate: $\int_0^{\pi} \ln \left( \sin \theta \right) d\theta$