how to integrate the definite integral using residue theorem?
45903
Improper integration involving complex analytic arguments
93276
A question on applying Residue Theorem to definite real integral
10366
Why do we not include $c$ in the computation of the definite integral?
129318
Integrate via substitution and derivation rule
98678
Finding the following definite and indefinite integrals
149723
Can I have some assistance in proving this integral?
104904
Calculating $\int_0^\infty \frac {\sin^2x}{x^2}dx$ using the Residue Theorem.
16800
Integrating $\int_0^{2\pi} \frac1{a\cos(t)+b\sin(t)+c}dt$ with $\sqrt{a^2+b^2}=1<c$
49074
Compute $\int\limits_{-\infty}^{\infty}\frac{1}{(1+x^2)^{n+1}}dx$ via residue calculus.
85618
Integral of $\frac{x^\alpha}{(1 + x^2)^2}$ from 0 to $\infty$ using contour integration for $-1 < \alpha <3$
67655
Simpler way to compute a definite integral without resorting to partial fractions?
101287
Definite integral containing 2 trig functions and a square root function
126576
Most efficient way to integrate $\int_0^\pi \sqrt{4\sin^2 x - 4\sin x + 1}\,dx$?
102541
Did I solve this definite integral correctly?
1516
How did you prove this integral?
80736
How to integrate $\int\frac{\sqrt{1+x^2}}{x}\,\mathrm dx$
25162
Differentiating Definite Integral