Question

Closed expression of the following integral?

score 132 · Answer 1 · 2026-04-09 17:47:15

132

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Closed expression of the following integral?

Published on 09 Apr 2026 - 17:47

score 354 · Answer 2 · 2026-04-11 15:21:03

354

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Improper integral with discontinuity

Published on 11 Apr 2026 - 15:21

score 1.3k · Answer 3 · 2026-04-13 20:33:54

1.3k

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How do I solve this improper integral: $\int_{-\infty}^\infty e^{-x^2-x}dx$?

Published on 13 Apr 2026 - 20:33

score 368 · Answer 4 · 2026-04-11 20:53:40

368

Views

Help with this indefinite integral using residues?

Published on 11 Apr 2026 - 20:53

score 124 · Answer 5 · 2026-04-29 23:03:06

124

Views

Is $\exp$ the only function satisfying $f(x)=\displaystyle \int_{-x}^{+\infty} f(-t) dt$?

Published on 29 Apr 2026 - 23:03

score 83 · Answer 6 · 2026-04-14 10:48:57

83

Views

Integral involving exponential and powers of $x$

Published on 14 Apr 2026 - 10:48

score 1.3k · Answer 7 · 2026-04-16 09:46:05

1.3k

Views

Solve $\int \limits_{0}^{\infty} \frac{\cos(x)}{\cosh(x)} dx$ without complex integration.

Published on 16 Apr 2026 - 9:46

score 102 · Answer 8 · 2026-03-25 20:36:22

102

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How do I show that the principal value of $\int_{- \infty}^{\infty}\sin(ax)\sin(bx)/x \,dx$ = 0

Published on 25 Mar 2026 - 20:36

score 59 · Answer 9 · 2026-04-13 06:18:54

59

Views

Imroper integral. Show that this expresions are...

Published on 13 Apr 2026 - 6:18

score 115 · Answer 10 · 2026-04-10 22:13:12

115

Views

Testing for convergence. (Improper Integral)

Published on 10 Apr 2026 - 22:13

score 94 · Answer 11 · 2026-04-12 01:17:34

94

Views

How can I evaluate the following limit-integral combination?

Published on 12 Apr 2026 - 1:17

score 135 · Answer 12 · 2026-04-16 02:18:20

135

Views

How to prove improper integral $\int_0^1 {\frac{1}{{{{(-\ln x)}^p}}}dx} $ diverges when $p>=1$?

Published on 16 Apr 2026 - 2:18

score 126 · Answer 13 · 2026-04-17 09:03:17

126

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Divergence of improper integral $\int_{2}^{\infty} \frac{\cos(2x)\cos(6x)}{x\ln x}$

Published on 17 Apr 2026 - 9:03

score 736 · Answer 14 · 2026-04-15 02:52:18

736

Views

Proving $\int_\mathbb R\frac{\sin(x)}{x}dx = \pi$ using the residue theorem

Published on 15 Apr 2026 - 2:52

score 558 · Answer 15 · 2026-04-17 04:23:20

558

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Closed form $\int_{-1}^{1} \frac{\ln (\sqrt{3} x +2)}{\sqrt{1-x^{2}} (\sqrt{3} x + 2)^{n}}\ dx$

Published on 17 Apr 2026 - 4:23

List Question

Closed expression of the following integral?

Improper integral with discontinuity

How do I solve this improper integral: $\int_{-\infty}^\infty e^{-x^2-x}dx$?

Help with this indefinite integral using residues?

Is $\exp$ the only function satisfying $f(x)=\displaystyle \int_{-x}^{+\infty} f(-t) dt$?

Integral involving exponential and powers of $x$

Solve $\int \limits_{0}^{\infty} \frac{\cos(x)}{\cosh(x)} dx$ without complex integration.

How do I show that the principal value of $\int_{- \infty}^{\infty}\sin(ax)\sin(bx)/x \,dx$ = 0

Imroper integral. Show that this expresions are...

Testing for convergence. (Improper Integral)

How can I evaluate the following limit-integral combination?

How to prove improper integral $\int_0^1 {\frac{1}{{{{(-\ln x)}^p}}}dx} $ diverges when $p>=1$?

Divergence of improper integral $\int_{2}^{\infty} \frac{\cos(2x)\cos(6x)}{x\ln x}$

Proving $\int_\mathbb R\frac{\sin(x)}{x}dx = \pi$ using the residue theorem

Closed form $\int_{-1}^{1} \frac{\ln (\sqrt{3} x +2)}{\sqrt{1-x^{2}} (\sqrt{3} x + 2)^{n}}\ dx$

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