New posts in integration

Is every Riemann-integrable function lebesgue integrable?

Showing $\int_{0}^{\infty} \frac{\sin{x}}{x} \ dx = \frac{\pi}{2}$ using complex integration

Prove $\int_{\frac{\pi}{20}}^{\frac{3\pi}{20}} \ln \tan x\,\,dx= - \frac{2G}{5}$

The Radon-Nikodym derivative of a measure such that $|\int f'\,d\mu|\le \|f\|_{L^2}$ for $f\in C^1$

Difficulty in understanding a part in a proof from Stein and Shakarchi Fourier Analysis book.

evaluate $\int_{0}^{1}dx \frac{(1-x)x(1+x)}{x^2+(1-x)a^2}$

When are Differentiation and Integration Inverse Operations?

If $f:[a,b]\to\mathbb{R}$ is bounded then $L(f,[a, b])=\lim _{n\to\infty} L(f, P_n,[a, b])$ and $U(f,[a, b])=\lim _{n\to\infty} U(f, P_n,[a, b])$

When can one use the Leibniz rule for integration?

Reduction formula for $\int x\tan^n(x)$

Evaluating $\int\limits_0^\infty \frac{\log x} {(1+x^2)^2} dx$ with residue theory

What is the value of the integral$\int_{0}^{+\infty} \frac{1-\cos t}{t} \, e^{-t} \, \mathrm{d}t$?

Show that $\int_1^3f(x)dx+\int_{11}^{13}f(x)dx\ge\int_5^9f(x)dx$

Prove that $f(1)-f(1/e)\le \int_0^1 \sqrt{x} f'(x) dx$

Integral Help - $\int \frac {\sqrt{u^2-a^2}}{u}du$

Decay of amplitude integral

Comparison of integrals

Closed form of $\int_0^1 \tan(\gamma\sqrt{1-x^2}) dx$

Difference between message bus and message broker

$\int\limits_{-\infty}^\infty \left(f_T(\frac{x-\mu}{1+\Psi/2})-f_T(\frac{x+\mu}{1-\Psi/2})\right)\frac{x\gamma}{(x-x_{0})^{2}+\gamma^2/4}dx$