List questions from improper-integrals

Published on 18 Apr 2026 - 9:09

86

Views

Simplest form for $\int_0^\infty \frac{\sin(ax)}{b+x}~dx$

Published on 15 Apr 2026 - 17:48

115

Views

How can we evaluate this integral? $\displaystyle{\int_0^{\pi/2}x\tan^{n}(x)\ dx}$

Published on 17 Apr 2026 - 8:31

372

Views

Closed form for Bessel type integral $\int_0^\infty J_0 (rx) \,\frac{e^{-z\sqrt{x^2+a^2}}}{\sqrt{x^2+a^2}} \, {\rm d}x$

Published on 16 Apr 2026 - 11:09

127

Views

Estimation of $I_n=\int_1^\infty \frac{1}{1+x+\ldots+x^n} dx$

Published on 16 Apr 2026 - 6:45

214

Views

Why Wolfram gives inconsistent result for: $\int_0^\infty \frac{e^{x-x^2}-e^{-x-x^2}}{x}~dx$

Published on 16 Apr 2026 - 13:37

50

Views

Taking the Limit of Integration for Dirichlet Kernel Stein and Shakarchi Fourier Analysis

Published on 10 Apr 2026 - 13:49

138

Views

Proving that $I=\int_0^\infty \frac{n x^{n-1}}{(1+x)^{n+1}}dx<+\infty$

Published on 17 Apr 2026 - 4:35

205

Views

Largest natural number $n$ such that $\int_1^\infty\frac{\log^nx}{e^x}\mathrm dx<1$

Published on 15 Apr 2026 - 19:11

73

Views

Improper integral of vanishing functions

Published on 12 Apr 2026 - 12:28

86

Views

Solving a real integral using Cauchy theorem

Published on 12 Apr 2026 - 21:58

246

Views

Computing an Integral Involving Rational and Bessel Functions

Published on 09 Apr 2026 - 23:50

95

Views

Show a function is in $L^2(\mathbb{R})$

Published on 18 Apr 2026 - 23:01

110

Views

Integral of $\operatorname{Si}(x)/(x(x^2+1))$ from $0$ to infinity

Published on 26 Mar 2026 - 3:01

53

Views

Closed form for $\int_0^{\infty} \frac{e^{-xt}\: t^{s-1}}{\sqrt{1-4at^2}}\: dt$.

Published on 14 Apr 2026 - 6:46

List Question

Asymptotics of integral $ \int_{\delta}^{1}\frac{1}{\sqrt{y+e^{-y}-1}}~dy $

Simplest form for $\int_0^\infty \frac{\sin(ax)}{b+x}~dx$

How can we evaluate this integral? $\displaystyle{\int_0^{\pi/2}x\tan^{n}(x)\ dx}$

Closed form for Bessel type integral $\int_0^\infty J_0 (rx) \,\frac{e^{-z\sqrt{x^2+a^2}}}{\sqrt{x^2+a^2}} \, {\rm d}x$

Estimation of $I_n=\int_1^\infty \frac{1}{1+x+\ldots+x^n} dx$

Why Wolfram gives inconsistent result for: $\int_0^\infty \frac{e^{x-x^2}-e^{-x-x^2}}{x}~dx$

Taking the Limit of Integration for Dirichlet Kernel Stein and Shakarchi Fourier Analysis

Proving that $I=\int_0^\infty \frac{n x^{n-1}}{(1+x)^{n+1}}dx<+\infty$

Largest natural number $n$ such that $\int_1^\infty\frac{\log^nx}{e^x}\mathrm dx<1$

Improper integral of vanishing functions

Solving a real integral using Cauchy theorem

Computing an Integral Involving Rational and Bessel Functions

Show a function is in $L^2(\mathbb{R})$

Integral of $\operatorname{Si}(x)/(x(x^2+1))$ from $0$ to infinity

Closed form for $\int_0^{\infty} \frac{e^{-xt}\: t^{s-1}}{\sqrt{1-4at^2}}\: dt$.

Trending Questions

Popular # Hahtags

Popular Questions