New posts in integration

Double Integral $\int\limits_0^a\int\limits_0^a\frac{dx\,dy}{(x^2+y^2+a^2)^\frac32}$

calculus integration multivariable-calculus definite-integrals multiple-integral

How to evaluate $\int_0^\pi \cos(x) \cos(2x) \cos(3x) \cos(4x)\, dx$

integration definite-integrals

Integral $\int_0^1 \frac{\log^4(x)}{(1-x)^4}dx$

integration derivatives proof-verification closed-form polylogarithm

Seeking Methods to solve $\int_{0}^{\frac{\pi}{2}} \ln\left|\sec^2(x) + \tan^4(x) \right|\:dx $

integration definite-integrals integral-transforms

Prove $\sum_{n=0}^\infty(-1)^n(\overline{H}_n-\ln2)^3=-\frac5{16}\zeta(3)$

calculus integration sequences-and-series alternative-proof harmonic-numbers

Integral of Brownian motion in a 2-d box

probability integration stochastic-processes stochastic-calculus brownian-motion

When calculating integrals, why replacing factorials with $\Gamma$ so often works?

integration analysis definite-integrals

Doubt in Integration a function on a $k$ - cell.

integration multivariable-calculus

If this sequence of paths tend to a certain path $\gamma$, does the integrals along those paths tend to the integral along $\gamma$?

integration complex-analysis

Counterexample to Tonelli's theorem

real-analysis integration examples-counterexamples fubini-tonelli-theorems

Integrating $\log(x)\cdot\exp(x)$

calculus integration

Integrate : $\int \frac{\sin x}{\sin4x} \,dx$

calculus integration

Calculate $\pi$ precisely using integrals?

calculus integration pi circles

Evaluate $\int_0^\pi\frac{1}{1+(\tan x)^\sqrt2}\ dx$

calculus integration

How did you prove this integral?

Convergence of an integral under a condition [closed]

integration indefinite-integrals

Limit of an integral (remainder term of a Euler-Maclaurin expansion)

real-analysis integration limits

just for fun integrate $\int \frac{1}{x^2+1}dx$ using Partial Fraction Decomposition

calculus integration

$\int_0^\infty \frac{1}{1+x^ 9} \, dx$

integration residue-calculus

Integral of a floor function.

integration definite-integrals ceiling-and-floor-functions