Integral of composition
110368
Prove the following integral inequality: $\int_{0}^{1}f(g(x))dx\le\int_{0}^{1}f(x)dx+\int_{0}^{1}g(x)dx$
117101
Integrate $\int \frac{dx}{\sqrt{-ax^2 + bx +c}} $
130670
Solving Integrals
90245
Computing $\int^1_0 \frac{p^2-1}{\text{ln } p}dp$
90339
Integral involving Cosine function
58947
Integral of $\int\sin^{3}xdx$
78687
Integral with a discontinuity point
17996
Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$
68241
Integral $\int_0^1 \frac{\ln(1-x)\ln(1+x^2)}{x}dx$
1626
How do we prove $\int_I\int_x^1\frac{1}{t}f(t)\text{ dt}\text{ dx}=\int_If(x)\text{ dx}$
104691
Integration of $\int_{0}^{1} \frac{x^k}{1-x} dx$
21375
The integral $\int_0^\infty \dfrac{x \sin(x)}{x^2+1} dx$
106420
Integral around unit sphere of inner product
31777
Complex line integral
42789
Integrate by Partial Fractions or Substitution
130736
Integrating $\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$
1366
Complex Analysis: Complex Integral