List questions from improper-integrals

Published on 17 Apr 2026 - 3:48

80

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Evaluating the integral $\int_{-\infty}^{\infty}{e^{2i\mu t}\frac{{\sin^2{\lambda t}}}{\lambda t^2}}dt$

Published on 16 Apr 2026 - 10:30

445

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Integrating $ \int_0^\infty \frac{x^5}{e^x+1} \, dx $

Published on 16 Apr 2026 - 16:53

322

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One Step Forward from Gaussian Integral

Published on 10 Apr 2026 - 23:41

431

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Evaluate the integral $\int_0^{\infty}\frac{x^4e^x}{(e^x-1)^2} \, dx$

Published on 17 Apr 2026 - 15:05

110

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Integrals with error function and exponentials

Published on 11 Apr 2026 - 5:14

128

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Calculus $\int_0^{+\infty}\frac{\sin^2x}x\mathrm dx$

Published on 15 Apr 2026 - 16:31

400

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convergence of general harmonic series

Published on 14 Apr 2026 - 11:24

154

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Identical Summation and Integration of specific functions

Published on 09 Apr 2026 - 13:05

5.2k

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Dirac delta integral with $\delta(\infty) \cdot e^{\infty}$

Published on 13 Apr 2026 - 20:41

65

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Convergence of $\int_2^{\infty}f(x)\,dx$ with a given condition

Published on 15 Apr 2026 - 20:38

87

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Closed form of integral involving Bessel $J_0$

Published on 08 Apr 2026 - 1:30

146

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How to prove expectation exists (or improper integral converges)

Published on 13 Apr 2026 - 23:54

42

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A series summation

Published on 12 Apr 2026 - 4:33

521

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The meaning of the Imaginary value of the Residue while Evaluating a Real Improper Integral

Published on 14 Apr 2026 - 10:47

List Question

Evaluate the integral $\int_0^\infty x^{t-1}e^{-\beta x}dx$

Evaluating the integral $\int_{-\infty}^{\infty}{e^{2i\mu t}\frac{{\sin^2{\lambda t}}}{\lambda t^2}}dt$

Integrating $ \int_0^\infty \frac{x^5}{e^x+1} \, dx $

One Step Forward from Gaussian Integral

Evaluate the integral $\int_0^{\infty}\frac{x^4e^x}{(e^x-1)^2} \, dx$

Integrals with error function and exponentials

Calculus $\int_0^{+\infty}\frac{\sin^2x}x\mathrm dx$

convergence of general harmonic series

Identical Summation and Integration of specific functions

Dirac delta integral with $\delta(\infty) \cdot e^{\infty}$

Convergence of $\int_2^{\infty}f(x)\,dx$ with a given condition

Closed form of integral involving Bessel $J_0$

How to prove expectation exists (or improper integral converges)

A series summation

The meaning of the Imaginary value of the Residue while Evaluating a Real Improper Integral

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