Question

How do I evaluate $\displaystyle \int_{-\infty}^z e^{\frac{-t^2+2t\alpha\mu}{2\sigma^2\alpha^2}+\frac{\lambda t}{1-\lambda}} dt$ ??

score 74 · Answer 1 · 2026-04-15 14:24:48

74

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How do I evaluate $\displaystyle \int_{-\infty}^z e^{\frac{-t^2+2t\alpha\mu}{2\sigma^2\alpha^2}+\frac{\lambda t}{1-\lambda}} dt$ ??

Published on 15 Apr 2026 - 14:24

score 1.5k · Answer 2 · 2026-04-12 01:18:59

1.5k

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Meijer function as a product of two Meijer's functions

Published on 12 Apr 2026 - 1:18

score 199 · Answer 3 · 2026-04-10 18:00:57

199

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Sine improper integral

Published on 10 Apr 2026 - 18:00

score 151 · Answer 4 · 2026-04-16 09:58:59

151

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The closed form of $\int^\infty_{B}e^{-(x+\frac{A}{x})}\,dx$, where $A>0$, $B>0$.

Published on 16 Apr 2026 - 9:58

score 652 · Answer 5 · 2026-04-16 18:28:07

652

Views

Improper Integral $\int_0^1\frac{\arcsin^2(x^2)}{\sqrt{1-x^2}}dx$

Published on 16 Apr 2026 - 18:28

score 248 · Answer 6 · 2026-04-15 04:08:31

248

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Evaluating $\int_0^{\infty} \frac{\sin(xt)(1-\cos(at))}{t^2} dt$

Published on 15 Apr 2026 - 4:08

score 444 · Answer 7 · 2026-04-12 04:00:52

444

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How to integrate $\int\limits_0^\infty e^{-a x^2}\cos(b x) dx$ where $a>0$

Published on 12 Apr 2026 - 4:00

score 3.2k · Answer 8 · 2026-04-16 10:04:08

3.2k

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To test convergence of improper integral $ \int_{0}^{\infty} \frac{x\log(x)}{(1+x^2)^2}\, \mathrm dx$

Published on 16 Apr 2026 - 10:04

score 51 · Answer 9 · 2026-04-16 10:05:37

51

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Convergence of improper integral $\int_{2}^{\infty} \frac{1}{log(t)}dt$

Published on 16 Apr 2026 - 10:05

score 1k · Answer 10 · 2026-04-17 14:58:11

1k

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To test convergence of improper integral $\int_{0}^{1} \left(\log\left(\frac{1}{x}\right)\right)^m\,\mathrm dx$

Published on 17 Apr 2026 - 14:58

score 306 · Answer 11 · 2026-04-15 19:59:57

306

Views

Integrate $\int_{-\infty}^\infty xe^{-\alpha x^2+\beta x}dx$

Published on 15 Apr 2026 - 19:59

score 599 · Answer 12 · 2026-04-15 13:33:01

599

Views

Improper integral: $\int_1^\infty\frac{\sin(\sqrt{x})}{\sqrt{x}}dx $.

Published on 15 Apr 2026 - 13:33

score 952 · Answer 13 · 2026-04-16 17:17:51

952

Views

Evaluate $\int_{-\infty}^{\infty}x^2 e^{-\alpha x^2+\beta x}dx$

Published on 16 Apr 2026 - 17:17

score 75 · Answer 14 · 2026-04-16 02:41:07

75

Views

Integral from $-\infty$ to $\infty$ of a function: $\int_{-\infty}^{+\infty} x e^{-x^2}\ \text{d}x$?

Published on 16 Apr 2026 - 2:41

score 627 · Answer 15 · 2026-04-09 02:45:57

627

Views

absolutely integrability implies function approaches zero at positive infinity

Published on 09 Apr 2026 - 2:45

List Question

How do I evaluate $\displaystyle \int_{-\infty}^z e^{\frac{-t^2+2t\alpha\mu}{2\sigma^2\alpha^2}+\frac{\lambda t}{1-\lambda}} dt$ ??

Meijer function as a product of two Meijer's functions

Sine improper integral

The closed form of $\int^\infty_{B}e^{-(x+\frac{A}{x})}\,dx$, where $A>0$, $B>0$.

Improper Integral $\int_0^1\frac{\arcsin^2(x^2)}{\sqrt{1-x^2}}dx$

Evaluating $\int_0^{\infty} \frac{\sin(xt)(1-\cos(at))}{t^2} dt$

How to integrate $\int\limits_0^\infty e^{-a x^2}\cos(b x) dx$ where $a>0$

To test convergence of improper integral $ \int_{0}^{\infty} \frac{x\log(x)}{(1+x^2)^2}\, \mathrm dx$

Convergence of improper integral $\int_{2}^{\infty} \frac{1}{log(t)}dt$

To test convergence of improper integral $\int_{0}^{1} \left(\log\left(\frac{1}{x}\right)\right)^m\,\mathrm dx$

Integrate $\int_{-\infty}^\infty xe^{-\alpha x^2+\beta x}dx$

Improper integral: $\int_1^\infty\frac{\sin(\sqrt{x})}{\sqrt{x}}dx $.

Evaluate $\int_{-\infty}^{\infty}x^2 e^{-\alpha x^2+\beta x}dx$

Integral from $-\infty$ to $\infty$ of a function: $\int_{-\infty}^{+\infty} x e^{-x^2}\ \text{d}x$?

absolutely integrability implies function approaches zero at positive infinity

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