New posts in integration

Lower bound on $\int_0^{\pi/4}\sin(\tan x)dx$

integration definite-integrals taylor-expansion

The anti-derivative of any matrix function

integration multivariable-calculus

Integrating Powers of $\frac{\sin x}{x}$ using Fourier Transforms

integration convolution fourier-transform

problems on Lebesgue integral

integration measure-theory

Solving higher order logarithms integrals without the beta function

calculus integration definite-integrals special-functions

Other integral related to Ahmed's integral

calculus integration definite-integrals improper-integrals closed-form

Integral of $e^{ix^2}$

integration complex-analysis complex-integration

difficult integral $\int_0^{\pi/2}\frac{x^2({1+\tan x})^2}{\sqrt{\tan x}({1-\tan x})}\sin{4x}dx$ [closed]

integration definite-integrals

Changing signs of integration limits

integration analysis definite-integrals

Convergence of $ I=\int_0^\infty \sin x\sin(x^2)\mathrm{d}x$

calculus integration definite-integrals improper-integrals

How to prove that the error in Simpson's rule is $- \frac{(b-a)^5}{2880}{{f^{(4)}(\zeta)}}$? [duplicate]

integration numerical-methods simpsons-rule

Solving integral $ \int \frac{x+\sqrt{1+x+x^2}}{1+x+\sqrt{1+x+x^2}}\:\mathrm{d}x $

calculus integration indefinite-integrals

Proving $\sum _{k=1}^n \frac{(-1)^{k-1} 16^k (k-1)! k! (k+n-1)!}{((2 k)!)^2 (n-k)!}=\frac{4}{n}\sum _{k=1}^n \frac{1}{2 k-1}$

integration definite-integrals summation special-functions

Integration trick $\int^{2\pi}_{0} f(a+ r \cos \theta, b+r\sin \theta)d\theta=2\pi f(a,b)$

integration proof-writing harmonic-functions

Trying to evaluate $\int_{0}^{\infty}\frac{\ln(1+x^3)}{1+x^3}\frac{dx}{1+x^3}$

calculus integration definite-integrals trigonometric-integrals

Proof of a few equations involving $\int_{\alpha}^{\infty}\frac{1}{t\left(e^{t}\pm1\right)}dt$

real-analysis integration closed-form

Computing $\sum_{n=1}^\infty\frac{2^{2n}H_{n+1}}{(n+1)^2{2n\choose n}}$

real-analysis integration sequences-and-series binomial-coefficients harmonic-numbers

Is every "almost everywhere derivative" Henstock–Kurzweil integrable?

real-analysis integration analysis derivatives gauge-integral

Solve $\int _{x=0}^{\infty }\int _{t=-\infty }^{\infty }\exp \left(\frac{-a t^2+i b t}{3 t^2+1}+i t x\right)\frac{x}{3 t^2+1}\mathrm{d}t\mathrm{d}x$

integration complex-integration residue-calculus

Equivalence of the Lebesgue integral and the Henstock–Kurzweil integral on nonnegative real functions

real-analysis integration measure-theory lebesgue-integral gauge-integral