Question

Integral divergence

score 95 · Answer 1 · 2026-04-12 16:50:26

95

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Integral divergence

Published on 12 Apr 2026 - 16:50

score 89 · Answer 2 · 2026-04-11 22:40:59

89

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Can anyone help me with this improper integral?

Published on 11 Apr 2026 - 22:40

score 491 · Answer 3 · 2026-04-14 04:07:57

491

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How evaluate $\int \frac{\cos^2(x)}{1 + \text{e}^x}dx$ to find an improper integral

Published on 14 Apr 2026 - 4:07

score 62 · Answer 4 · 2026-04-11 08:52:42

62

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Sum of integrals with variables shifted in each sum: How to justify this expression?

Published on 11 Apr 2026 - 8:52

score 82 · Answer 5 · 2026-04-11 08:25:31

82

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Improper integral problem.

Published on 11 Apr 2026 - 8:25

score 67 · Answer 6 · 2026-04-13 10:45:34

67

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For what values is this integral convergent?

Published on 13 Apr 2026 - 10:45

score 34 · Answer 7 · 2026-04-09 04:04:42

34

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Proving an integral identity

Published on 09 Apr 2026 - 4:04

score 112 · Answer 8 · 2026-04-20 11:58:17

112

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Manipulating $\int_{x_{0}}^{\infty} \frac{1}{x} \, \cos (x t) \, \text{e}^{-x^{2}} \, dx$

Published on 20 Apr 2026 - 11:58

score 269 · Answer 9 · 2026-04-17 04:24:38

269

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Computing $\int_{0}^{\pi/2}\cos(x)\ln(\tan(x))dx$

Published on 17 Apr 2026 - 4:24

score 95 · Answer 10 · 2026-04-13 17:40:23

95

Views

Consider the intergal $I=\int_{1}^{\infty}e^{ax^2+bx+c}dx$, where $a,b,c$ are constants. When does the integral converge?

Published on 13 Apr 2026 - 17:40

score 480 · Answer 11 · 2026-04-16 04:40:53

480

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Can we determinine the convergence of $\int_0^\infty \frac{x^{2n - 1}}{(x^2 + 1)^{n + 3}}\,dx$ without evaluating it?

Published on 16 Apr 2026 - 4:40

score 158 · Answer 12 · 2026-04-16 22:22:41

158

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Integral of $\int_{-\infty}^\infty\frac{e^{-y^2/2} \sinh(cy)^2} {\cosh(Mcy) }dy$

Published on 16 Apr 2026 - 22:22

score 813 · Answer 13 · 2026-04-16 05:35:37

813

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The shortest way to prove that $\int_1^\infty \frac{{\arctan \left( x \right)}}{{\sqrt {{x^4} - 1} }}dx $ converges.

Published on 16 Apr 2026 - 5:35

score 254 · Answer 14 · 2026-04-15 20:31:39

254

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Proving $\int_0^\infty e^{-ax}x^n\,dx = \frac{1}{a^{n+1}} \Gamma(n+1)$

Published on 15 Apr 2026 - 20:31

score 1.9k · Answer 15 · 2026-04-11 13:08:14

1.9k

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When using the Integral test, why is the value of the integral different from the sum of the series?

Published on 11 Apr 2026 - 13:08

List Question

Integral divergence

Can anyone help me with this improper integral?

How evaluate $\int \frac{\cos^2(x)}{1 + \text{e}^x}dx$ to find an improper integral

Sum of integrals with variables shifted in each sum: How to justify this expression?

Improper integral problem.

For what values is this integral convergent?

Proving an integral identity

Manipulating $\int_{x_{0}}^{\infty} \frac{1}{x} \, \cos (x t) \, \text{e}^{-x^{2}} \, dx$

Computing $\int_{0}^{\pi/2}\cos(x)\ln(\tan(x))dx$

Consider the intergal $I=\int_{1}^{\infty}e^{ax^2+bx+c}dx$, where $a,b,c$ are constants. When does the integral converge?

Can we determinine the convergence of $\int_0^\infty \frac{x^{2n - 1}}{(x^2 + 1)^{n + 3}}\,dx$ without evaluating it?

Integral of $\int_{-\infty}^\infty\frac{e^{-y^2/2} \sinh(cy)^2} {\cosh(Mcy) }dy$

The shortest way to prove that $\int_1^\infty \frac{{\arctan \left( x \right)}}{{\sqrt {{x^4} - 1} }}dx $ converges.

Proving $\int_0^\infty e^{-ax}x^n\,dx = \frac{1}{a^{n+1}} \Gamma(n+1)$

When using the Integral test, why is the value of the integral different from the sum of the series?

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