Calculating $\int_0^\infty \frac {\sin^2x}{x^2}dx$ using the Residue Theorem.
10036
Proof of $\int_0^\infty \left(\frac{\sin x}{x}\right)^2 \mathrm dx=\frac{\pi}{2}.$
101587
Calculating $\int_{- \infty}^{\infty} \frac{\sin x \,dx}{x+i} $
145183
finding $\int_0^\infty \dfrac{dx}{1+x^4}$ through complex analysis
129734
Computing $\sum_{k=1}^{\infty}\frac{1}{k}\int_{\pi k}^{\infty}\frac{\sin(x)}{x}dx$
156531
Evaluating the integral $\int_{-\infty}^\infty \frac{\sin^2(x)}{x^2}e^{i t x} dx$
157255
Using residue theorem to integrate from $-\infty$ to $\infty$
23087
Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis
144811
Calculate $\int_0^{2\pi} \frac{1}{2+\sin(x)} \ dx$
158147
Calculating $\int_{-\infty}^{\infty}\frac{\sin(ax)}{x}\, dx$ using complex analysis
83703
Show that $\int_{0}^{\infty}|\frac{\sin x}{x}|\,dx=\infty $
68421
Residue theorem with $\frac{1}{2\pi}\int_{0}^{2\pi}e^{\cos\theta}\cos(n\theta) d\theta$.
1416
closed form of $\int_{0}^{2\pi}\frac{dx}{(a^2\cos^2x+b^2\sin^2x)^n}$
31493
Complex integral help involving $\sin^{2n}(x)$
141892
How to evaluate $\int_0^\infty \frac{1}{x^n+1} dx$
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
109901
Computing $\int_0^\infty\frac1{(x+1)(x+2)\cdots(x+n)}\mathrm dx $
119410
Solution of $\int_0^\infty\frac{\ln(1+{x^2})}{1+{x^2}}$