Proof for miscellaneous definite integral
717
Proof of Frullani's theorem
93276
A question on applying Residue Theorem to definite real integral
54266
Prove that $\int_a^b \left( \int_c^d f(x,y)dy\right) dx=\int_c^d \left( \int_a^b f(x,y)dx\right) dy$
62192
Proof $L{\rm{[}}\frac{{x(t)}}{t}{\rm{] = }}\int_s^\infty {X(u)du} $
141503
Need help calculating a definite integral
7042
Defined integral of $x^{\alpha} (1-x)^{\beta-1}$
121406
Interesting Integration with respect to $[x]$ where $[\cdot]$ is greatest integer function
16775
Showing that $\int_{0}^{\infty} \frac{dx}{1 + x^2} = 2 \int_0^1 \frac{dx}{1 + x^2}$
67622
Proving of Integral $\int_{0}^{\infty}\frac{e^{-bx}-e^{-ax}}{x}dx = \ln\left(\frac{a}{b}\right)$
86054
$r+r^{-1}$ integral implies $r^n+r^{-n}$ integral
28540
Really advanced techniques of integration (definite or indefinite)
103374
A Problem on Improper Integrals
87149
Prove directly from the definition of the Ito's integral
18261
Prove $\int_{a}^{b}{f(x)dx}>0$.
83531
Prove $\iint_{x^{2}+y^{2} \leq 1} e^{x^{2}+y^{2}} d x d y \leq\left[\int_{-\frac{\sqrt{\pi}}{2}}^{\frac{\sqrt{\pi}}{2}} e^{x^{2}} d x\right]^{2} $
44653
$(\int f_1d\mu)^2+\cdots+(\int f_nd\mu)^2\leq(\int \sqrt{f_1^2+\cdots+f_n^2}d\mu)^2$
25162
Differentiating Definite Integral