New posts in integration

How evaluate the following hard integrals?

integration definite-integrals improper-integrals

Prove an integral inequality $|\int\limits_0^1f(x)dx|\leq\frac{1-a+b}{4}M$ [closed]

integration integral-inequality

No definite integrals of trigonometry

calculus integration

Possible values of $\int \frac{dz}{\sqrt{1-z^2}}$ over a closed curve in a region?

integration complex-analysis analysis complex-integration

General method of integration when poles on contour

integration complex-analysis

How to Integrate this function $\int(1-x^2)^ndx$

integration definite-integrals area

$\int\tan x\ dx$ by integration by parts [duplicate]

integration

Evaluating $\int \frac{\sin\left(x\right)}{1+x^2}dx$

calculus integration indefinite-integrals

Verification of integral over $\exp(\cos x + \sin x)$

integration special-functions

Evaluate $\int_{0}^{1/2}\frac{e^x(2-x^2)}{(1-x)^{3/2}(1+x)^{1/2}}\,dx$

integration definite-integrals

More general Frullani's [closed]

real-analysis calculus integration definite-integrals

Conjectured closed form for $\int_0^1\frac{\operatorname{li}^4(x)}{x^4}\,dx$

calculus integration definite-integrals special-functions closed-form

Closed form to an interesting series: $\sum_{n=1}^\infty \frac{1}{1+n^3}$

calculus integration sequences-and-series closed-form digamma-function

Integral $\int_0^1(x(1-x))^n\frac{d^n}{d^n x}(\log x \cdot\log (1-x))dx$

calculus integration sequences-and-series definite-integrals

Where to learn advanced integral calculus?

integration reference-request soft-question

Get a good approximation of $\int_0^1 \left(H_x\right)^2 dx$, where $H_x$ is the generalized harmonic number

real-analysis integration definite-integrals numerical-methods harmonic-numbers

Help to evaluate $\int_{0}^{\pi}\sec(x)\sqrt{\tan\left(\frac{x}{2}\right)}\ln^n\tan\left(\frac{x}{2}\right)dx$

calculus integration definite-integrals trigonometric-integrals

Integral $\int_0^1 \frac{\ln(1+x)}{1+x^3}dx$

integration definite-integrals closed-form

Prove $\int_a^b \frac{1}{x}\sqrt{-(x-a)(x-b)}dx = (\frac{a+b}{2}-\sqrt{ab})\pi$

integration definite-integrals

Integrating a 'twisted' rational function

integration definite-integrals infinite-product