Favorite definite integral trick?
28540
Really advanced techniques of integration (definite or indefinite)
49203
Evaluating $\int \sqrt{1 + t^2} dt$?
41867
Best way to evaluate integral with contour integration?
35181
Integrals of Motion
40067
Integrating $\int\frac{x^3}{\sqrt{9-x^2}}dx$ via trig substitution
146084
Different methods of evaluating $\int\sqrt{a^2-x^2}dx$:
157966
Integrals of Pullbacks
24508
Series as an integral (sophomore's dream)
80952
A difficult integral evaluation problem
152697
Integration practice of $\int \frac{\sqrt{25-y^2}}{y}dy$
84267
Real integral by keyhole contour
60796
Integrating $\int^{\infty}_0 e^{-x^2}\,dx$ using Feynman's parametrization trick
89862
Alternative approach for a line integral?
105767
derivative under integral intuition
112551
Demystify integration of $\int \frac{1}{x} \mathrm dx$
15625
Computing $\int_0^\infty\mathrm{d} x\frac{x}{e^x+1}$ with contour integration
48408
Definite Integral of $\sin(\sin x)$