List questions from improper-integrals

Published on 17 Apr 2026 - 12:43

209

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Convergence and value of improper integral

Published on 13 Apr 2026 - 17:42

85

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Checking whther the integral $\int_1^∞ \frac{1}{x^{\frac{1}{x}+1}} dx$ convergent

Published on 15 Apr 2026 - 22:42

2.5k

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Limit of $ \frac1x \int_x ^{2x}e^{-t^2}dt$

Published on 15 Apr 2026 - 17:33

346

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Proving Euler's spiral is an isometric embedding with bounded image

Published on 28 Apr 2026 - 21:45

768

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Limit of improper integrals of uniformly convergent function

Published on 19 Apr 2026 - 2:03

77

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Having trouble evaluting error function integrals

Published on 11 Apr 2026 - 10:07

85

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How to calculate the definite integral $\int\limits_0^\infty \sqrt{x} e^{-x} dx = \frac{\sqrt{\pi}}{2}$

Published on 15 Apr 2026 - 6:58

161

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Examine convergence of $\int_0^{\infty} \frac{1}{x^a \cdot |\sin(x)| ^b}dx$

Published on 14 Apr 2026 - 2:16

33

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"Nonlinear cosine" integral

Published on 09 Apr 2026 - 23:19

196

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unbounded solution, lim inf of trace,

Published on 01 Apr 2026 - 3:33

234

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Need help with $\int_{-\infty}^\infty \frac{x^2 \, dx}{x^4+2a^2x^2+b^4}$

Published on 16 Apr 2026 - 6:45

54

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Finding limit with improper integral

Published on 11 Apr 2026 - 3:08

1.2k

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Is $\frac{1}{x^2}$ Lebesgue integrable while $\frac{1}{x}$ is not?

Published on 13 Apr 2026 - 13:24

388

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Integrating lower incomplete gamma function raised to the power $k$

Published on 14 Apr 2026 - 12:07

List Question

Help evaluate $\int_0^\infty x\operatorname{erfc}(a + b\ln (x)) \,dx$.

Convergence and value of improper integral

Checking whther the integral $\int_1^∞ \frac{1}{x^{\frac{1}{x}+1}} dx$ convergent

Limit of $ \frac1x \int_x ^{2x}e^{-t^2}dt$

Proving Euler's spiral is an isometric embedding with bounded image

Limit of improper integrals of uniformly convergent function

Having trouble evaluting error function integrals

How to calculate the definite integral $\int\limits_0^\infty \sqrt{x} e^{-x} dx = \frac{\sqrt{\pi}}{2}$

Examine convergence of $\int_0^{\infty} \frac{1}{x^a \cdot |\sin(x)| ^b}dx$

"Nonlinear cosine" integral

unbounded solution, lim inf of trace,

Need help with $\int_{-\infty}^\infty \frac{x^2 \, dx}{x^4+2a^2x^2+b^4}$

Finding limit with improper integral

Is $\frac{1}{x^2}$ Lebesgue integrable while $\frac{1}{x}$ is not?

Integrating lower incomplete gamma function raised to the power $k$

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