List questions from improper-integrals

Published on 17 Apr 2026 - 12:55

275

Views

Convergence of $\int_0^1 \sin\frac{1}{x} \;\mathrm{dx}$

Published on 15 Apr 2026 - 4:41

278

Views

A possible closed form?

Published on 11 Apr 2026 - 11:54

119

Views

Using integral test for $\sum 1/i^2$

Published on 15 Apr 2026 - 10:34

348

Views

Integration limits of the double integral after conversion to the polar coordinates

Published on 11 Apr 2026 - 1:16

237

Views

how to integrate $\int \frac{\sin x}{x}$ in $[0,1]$

Published on 11 Apr 2026 - 21:16

1.4k

Views

Integral $\int_{0}^{\infty}e^{-ax}\cos (bx)\operatorname d\!x$

Published on 15 Apr 2026 - 5:16

3.3k

Views

$\int_{0}^{\infty} f(x) \,dx$ exists. Then $\lim_{x\rightarrow \infty} f(x) $ must exist and is $0$. A rigorous proof?

Published on 15 Apr 2026 - 5:15

4.5k

Views

How to find the integral $\int_{0}^{\infty}\exp(- (ax+b/x))\,dx$?

Published on 15 Apr 2026 - 12:03

985

Views

integral $\int_{0}^{\infty}\frac{\cos(\pi x^{2})}{1+2\cosh(\frac{2\pi}{\sqrt{3}}x)}dx=\frac{\sqrt{2}-\sqrt{6}+2}{8}$

Published on 21 Apr 2026 - 16:52

372

Views

Which my step is incorrect to prove $\int_{-\infty}^\infty xe^{-x^2}dx = 0$?

Published on 17 Apr 2026 - 15:29

69

Views

Show $\int_{0}^{\epsilon}\rho(x)^{-2}dx= +\infty, \hspace{4mm} \forall \epsilon >0$

Published on 17 Apr 2026 - 2:54

165

Views

Prove that $\int_0^{\infty} \frac{t^n} {1+e^t}dt=(1-2^{-n})n!\zeta (n+1)$

Published on 17 Apr 2026 - 9:49

116

Views

Improper integral $\int^{1}_{0} \frac{x}{\sin{(x^{p})}} dx$

Published on 16 Apr 2026 - 7:34

412

Views

integral involving upper incomplete gamma function

Published on 17 Apr 2026 - 10:57

List Question

Integrating $\int_0^\infty\frac{1}{1+x^6}dx$

Convergence of $\int_0^1 \sin\frac{1}{x} \;\mathrm{dx}$

A possible closed form?

Using integral test for $\sum 1/i^2$

Integration limits of the double integral after conversion to the polar coordinates

how to integrate $\int \frac{\sin x}{x}$ in $[0,1]$

Integral $\int_{0}^{\infty}e^{-ax}\cos (bx)\operatorname d\!x$

$\int_{0}^{\infty} f(x) \,dx$ exists. Then $\lim_{x\rightarrow \infty} f(x) $ must exist and is $0$. A rigorous proof?

How to find the integral $\int_{0}^{\infty}\exp(- (ax+b/x))\,dx$?

integral $\int_{0}^{\infty}\frac{\cos(\pi x^{2})}{1+2\cosh(\frac{2\pi}{\sqrt{3}}x)}dx=\frac{\sqrt{2}-\sqrt{6}+2}{8}$

Which my step is incorrect to prove $\int_{-\infty}^\infty xe^{-x^2}dx = 0$?

Show $\int_{0}^{\epsilon}\rho(x)^{-2}dx= +\infty, \hspace{4mm} \forall \epsilon >0$

Prove that $\int_0^{\infty} \frac{t^n} {1+e^t}dt=(1-2^{-n})n!\zeta (n+1)$

Improper integral $\int^{1}_{0} \frac{x}{\sin{(x^{p})}} dx$

integral involving upper incomplete gamma function

Trending Questions

Popular # Hahtags

Popular Questions