New posts in integration

Evaluate $\int_{(0,\infty)^n}\text{Sinc}(\sum_{k=1}^nx_k) \prod_{k=1}^n \text{Sinc}(x_k) dx_1\cdots dx_n$

integration definite-integrals

Proving the existence of a point with a certain property for a continuous function

calculus integration functions continuity

Show the sequence converges to M

real-analysis integration sequences-and-series analysis

How to calculate $\int_0^\pi \ln(1+\sin x)\mathrm dx$

calculus integration analysis closed-form

Evaluate $\int_0^1\frac{\ln x\ln(1-x)}{1+x^2}\ dx$

calculus integration definite-integrals harmonic-numbers polylogarithm

Riemann integrable and continuous almost everywhere.

How to "fix" $\int_{-1}^1 \frac {dx}{x^2}$ with complex numbers?

calculus integration definite-integrals complex-numbers improper-integrals

Do we consider functions positive in indefinite integrals?

integration absolute-value

Solution of recursive differential equation

integration partial-differential-equations

Math competition problem, prove that $\int_{-\infty}^\infty e^{-\pi x^2 \left(\frac{\alpha +x}{\beta +x}\right)^2}dx=1~$ for $~0<\beta<\alpha$.

calculus integration definite-integrals contest-math closed-form

A series for $\log (a) \log (b)$ in terms of hypergeometric function

integration sequences-and-series logarithms hypergeometric-function

Legendre Polynomial Orthogonality Integral

integration orthogonality orthogonal-polynomials legendre-polynomials

How to integrate $\int x\sin {(\sqrt{x})}\, dx$

calculus integration indefinite-integrals

Young inequality

calculus integration inequality

Hard! Integrate $\int_0^{\frac{\pi}{2}}\frac{x\ln|\cot (x-\frac{\pi}{4})|}{\sin^2x}{d}x=\frac{\pi^{2}}{4}+\frac{\pi}{2}\ln2$

integration contour-integration residue-calculus

Definite Integral and Constant of Integration

Integration of sawtooth, square and triangle wave functions

calculus integration signal-processing

Why is integration the inverse of differentiation

calculus integration derivatives

Resources for Integrals?

calculus integration reference-request soft-question big-list

Fourier transform of squared exponential integral $\operatorname{Ei}^2(-|x|)$

calculus integration definite-integrals fourier-analysis special-functions