New posts in improper-integrals

Find $\lim_{x\to 1}\int_{x}^{x^2}\frac{1}{\ln {t}}\mathrm dt$.

improper-integrals

Integral that evaluates to 42 [closed]

calculus integration definite-integrals improper-integrals

Trouble understanding Blagouchine's extensions to the Malmsten integral

integration definite-integrals improper-integrals

Easier ways to prove $\int_0^1 \frac{\log^2 x-2}{x^x}dx<0$

real-analysis sequences-and-series improper-integrals integral-inequality

Convergence of Integral near 0

real-analysis integration improper-integrals

integral $\int_0^{\pi} \left( \frac{\pi}{2} - x \right) \frac{\tan x}{x} \, {\rm d}x$

real-analysis improper-integrals

Log Sine: $\int_0^\pi \theta^2 \ln^2\big(2\sin\frac{\theta}{2}\big)d \theta.$

calculus integration complex-analysis definite-integrals improper-integrals

A interesting improper integral, $ \int_{0}^1\frac{\ln x}{x^2-x-1}\text{d}x$

calculus integration improper-integrals

How to find this integral $I=\int_{0}^{+\infty}\frac{\{t\}(\{t\}-1)}{1+t^2}dx$?

integration definite-integrals improper-integrals

Integral Representation of $F(n)$

improper-integrals

parametric integral relating to hyperbolic function

integration improper-integrals

Dilogarithm integral $\int^x_0 \frac{\operatorname{Li}_2(1-t)\log(1-t)}{t}\, dt$

calculus integration improper-integrals harmonic-numbers polylogarithm

Computation real integral with residue theorem

complex-analysis improper-integrals residue-calculus

Improper integral of a rational function:$\int_0^\infty \frac{5t^6}{1+t^{10}}dt$

calculus integration definite-integrals improper-integrals closed-form

Finding $\int\limits_1^\infty \frac{\sin^4(\log x)}{x^2 \log x} \mathrm{d}x$

integration definite-integrals improper-integrals

Closed form of $\int_0^1\int_0^1\int_0^1\frac{\left(1-x^y\right)\left(1-x^z\right)\ln x}{(1-x)^3}\,\mathrm dx\;\mathrm dy\;\mathrm dz$

calculus integration definite-integrals improper-integrals closed-form

Evaluating $\int_0^{\infty} \frac {e^{-x}}{a^2 + \log^2 x}\, \mathrm d x$

integration definite-integrals improper-integrals

Intuitively, why does $\int_{-\infty}^{\infty}\sin(x)dx$ diverge? [duplicate]

improper-integrals

How can I calculate $\int_0^\infty \frac{u^3}{(e^u-1)} \, du$?

integration improper-integrals

Evaluating this integral using the Gamma function

calculus integration definite-integrals improper-integrals gamma-function