List questions from improper-integrals

Published on 16 Apr 2026 - 21:40

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Why does $\int_0^ae^\frac1x x^pdx$ diverge?

Published on 16 Apr 2026 - 15:23

250

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Convergence of $\int_0^\infty \frac{x^p}{1+x^p}dx$

Published on 15 Apr 2026 - 12:30

115

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Integrals: Noob Question

Published on 12 Apr 2026 - 10:00

92

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Prove that$ \int_0^\infty x^{2n}e^{-ax^2}dx = \frac{(2n-1)(2n-3) \cdots1}{2(2a)^n}\sqrt{\frac\pi a} $

Published on 15 Apr 2026 - 13:48

1.3k

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When does a limit diverge to infinity and when does it not exist?

Published on 12 Apr 2026 - 3:19

346

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Evaluation of improper integrals

Published on 12 Apr 2026 - 6:50

183

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How to Evaluate $\int^\infty_0\int^\infty_0e^{-(x+y)^2} dx\ dy$

Published on 14 Apr 2026 - 18:33

103

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Why $\boldsymbol{\int_{-\infty}^0 \frac{dx}{3-4x}}$ does not exist?

Published on 16 Apr 2026 - 10:10

235

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help with exponential integral and square root

Published on 13 Apr 2026 - 0:45

79

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How to evaluate improper integral

Published on 09 Apr 2026 - 13:57

2.6k

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The improper integral of $1/(x^2+x)$ from $0$ to $\infty$.

Published on 16 Apr 2026 - 11:56

1.5k

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Improper Integral from minus infinity to $0$ of $xe^{2x}$

Published on 10 Apr 2026 - 13:47

2.9k

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Why the integral $\int_0^3 \frac{1}{x^2-6x+5}dx$ doesn't exist?

Published on 17 Apr 2026 - 20:36

593

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Improper Integral of $\int_{-1}^0 \frac{e^\frac{1}{x}}{x^3}dx$

Published on 15 Apr 2026 - 19:54

List Question

$\int_1^\infty\frac 1{\ln x}dx$

Why does $\int_0^ae^\frac1x x^pdx$ diverge?

Convergence of $\int_0^\infty \frac{x^p}{1+x^p}dx$

Integrals: Noob Question

Prove that$ \int_0^\infty x^{2n}e^{-ax^2}dx = \frac{(2n-1)(2n-3) \cdots1}{2(2a)^n}\sqrt{\frac\pi a} $

When does a limit diverge to infinity and when does it not exist?

Evaluation of improper integrals

How to Evaluate $\int^\infty_0\int^\infty_0e^{-(x+y)^2} dx\ dy$

Why $\boldsymbol{\int_{-\infty}^0 \frac{dx}{3-4x}}$ does not exist?

help with exponential integral and square root

How to evaluate improper integral

The improper integral of $1/(x^2+x)$ from $0$ to $\infty$.

Improper Integral from minus infinity to $0$ of $xe^{2x}$

Why the integral $\int_0^3 \frac{1}{x^2-6x+5}dx$ doesn't exist?

Improper Integral of $\int_{-1}^0 \frac{e^\frac{1}{x}}{x^3}dx$

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