List questions from improper-integrals

Published on 29 Mar 2026 - 16:27

275

Views

How to evaluate $\int_0^{\infty} \bigg(\frac{e^{-x}}{\sinh(x)} - \frac{e^{-3x}}{x}\bigg) \; dx$

Published on 25 Oct 2014 - 12:24

362

Views

Show that $\int_0^1 |\frac{1}{x}\sin\frac{1}{x}|\ dx$ diverges

Published on 26 Oct 2014 - 12:18

1.2k

Views

Using differentiation under integral sign to calculate $\int^{\pi/2}_0\frac{\log(1+a\sin\phi)}{\sin\phi}d\phi$

Published on 26 Oct 2014 - 17:43

556

Views

Closed form of $\int_0^{\infty} \frac{\log(x)}{\cosh(x) \sec(x)- \tan(x)} \ dx$

Published on 26 Oct 2014 - 18:13

259

Views

rational exponent of negative base

Published on 29 Mar 2026 - 20:13

534

Views

Three integral involving polylogarithm function

Published on 29 Mar 2026 - 15:23

202

Views

Differentiation under integral

Published on 27 Oct 2014 - 2:57

333

Views

Improper integral of $\dfrac{x^2}{ e^x−1}$

Published on 27 Oct 2014 - 14:37

131

Views

A hard integral from probability theory

Published on 27 Oct 2014 - 16:46

170

Views

Finding the closed form of $\sum_{k=1}^{\infty} \sum_{n=1}^{\infty}(-1)^{k+n} \frac{\log(k+n)}{k n}$

Published on 28 Oct 2014 - 18:24

562

Views

Prove the integral evaluates to $\frac{K}{\pi}$

Published on 25 Mar 2026 - 2:31

237

Views

How to compute or simplify this integration?

Published on 29 Oct 2014 - 19:18

22.8k

Views

Integrating a function from negative infinity to infinity

Published on 29 Mar 2026 - 6:27

898

Views

How to solve this complicated double integral problem?

Published on 02 Apr 2026 - 12:31

List Question

Can I do the following when solving my integration??

How to evaluate $\int_0^{\infty} \bigg(\frac{e^{-x}}{\sinh(x)} - \frac{e^{-3x}}{x}\bigg) \; dx$

Show that $\int_0^1 |\frac{1}{x}\sin\frac{1}{x}|\ dx$ diverges

Using differentiation under integral sign to calculate $\int^{\pi/2}_0\frac{\log(1+a\sin\phi)}{\sin\phi}d\phi$

Closed form of $\int_0^{\infty} \frac{\log(x)}{\cosh(x) \sec(x)- \tan(x)} \ dx$

rational exponent of negative base

Three integral involving polylogarithm function

Differentiation under integral

Improper integral of $\dfrac{x^2}{ e^x−1}$

A hard integral from probability theory

Finding the closed form of $\sum_{k=1}^{\infty} \sum_{n=1}^{\infty}(-1)^{k+n} \frac{\log(k+n)}{k n}$

Prove the integral evaluates to $\frac{K}{\pi}$

How to compute or simplify this integration?

Integrating a function from negative infinity to infinity

How to solve this complicated double integral problem?

Trending Questions

Popular # Hahtags

Popular Questions