List questions from improper-integrals

Published on 14 Apr 2026 - 5:49

100

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Convergence and estimate of improper integral involving function $\frac{\sin\pi x}{\pi x}$.

Published on 14 Apr 2026 - 18:13

45

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Integral of $\sin (e^{x^2})e^{-x^2+ix\lambda}$

Published on 16 Apr 2026 - 6:12

57

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Same integral diverges for different limits?

Published on 12 Apr 2026 - 14:34

115

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Test for convergence of integral

Published on 15 Apr 2026 - 14:10

49

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Seeking possibility of more elementary means of evaluating an improper integral.

Published on 29 Mar 2026 - 20:04

266

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Maximizing an Integral Quantity

Published on 11 Apr 2026 - 21:59

46

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A multiple of the Gamma Function when integrated between $0$ and $\infty$

Published on 14 Apr 2026 - 15:06

63

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$1 = \int f(x) \ dx$, by definition, or by Lebesgue's theorem?

Published on 30 Apr 2026 - 10:22

142

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How do I evaluate $\int_{0}^{\infty} u^{z-1}(e^{iu}-1) \, du$?

Published on 12 Apr 2026 - 17:51

139

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How to show $\int_{1}^{\infty} \frac{\sin^2(x)}{x^2}dx$ is finite?

Published on 16 Apr 2026 - 10:30

129

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How does the integral $\int_0^{\infty} \ln\left( 1+\frac{1}{x^2} \right) \,\text{d}x$ converge?

Published on 16 Apr 2026 - 1:53

884

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Upper bound of $\int_{-\infty}^{\infty}\sin(x)dx$.

Published on 15 Apr 2026 - 2:55

1.4k

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Improper integral involving trigonometric function

Published on 09 Apr 2026 - 11:13

List Question

How can we compute $\int^{\infty}_0\sin(x^2)dx$ using Fourier transform?

Convergence and estimate of improper integral involving function $\frac{\sin\pi x}{\pi x}$.

Integral of $\sin (e^{x^2})e^{-x^2+ix\lambda}$

Same integral diverges for different limits?

Test for convergence of integral

Seeking possibility of more elementary means of evaluating an improper integral.

Maximizing an Integral Quantity

A multiple of the Gamma Function when integrated between $0$ and $\infty$

$1 = \int f(x) \ dx$, by definition, or by Lebesgue's theorem?

How do I evaluate $\int_{0}^{\infty} u^{z-1}(e^{iu}-1) \, du$?

Related integral problem to the Gaussian integral

How to show $\int_{1}^{\infty} \frac{\sin^2(x)}{x^2}dx$ is finite?

How does the integral $\int_0^{\infty} \ln\left( 1+\frac{1}{x^2} \right) \,\text{d}x$ converge?

Upper bound of $\int_{-\infty}^{\infty}\sin(x)dx$.

Improper integral involving trigonometric function

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