List questions from improper-integrals

Published on 16 Apr 2026 - 7:52

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Improper Integral - Multiple Choice Problem - $I$

Published on 12 Apr 2026 - 7:50

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Explain why the integral $\int_{-\infty}^\infty x \,dx$ does not exist

Published on 12 Apr 2026 - 23:36

535

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How $\int_{-\infty}^{\infty}\frac{dx}{1+x^2}$ exists?

Published on 16 Apr 2026 - 12:45

171

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Integral $\int_0^\infty e^{-x/2}x\log(1+kx^2)\,dx$

Published on 16 Apr 2026 - 12:00

248

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Divergence/convergence of an integral $\int_{-\infty}^{+\infty} (1-e^{ix}) |x|^{-n} dx$

Published on 16 Apr 2026 - 11:30

88

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Proof some 2 D Fourier transforms

Published on 12 Apr 2026 - 1:44

224

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Evaluating $\int_0^\infty dn \, \frac{x^n}{(3n+1)(3n+2)}$

Published on 16 Apr 2026 - 15:42

65

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Evaluate an integral quickly

Published on 15 Apr 2026 - 9:04

208

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Convergence of $\int_0^{\infty} x \cos (x^6)\,dx$

Published on 15 Apr 2026 - 21:24

287

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Question about computing a Complicated integral

Published on 09 Apr 2026 - 1:10

36

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Evaluation of an integral using nonrigorous methods

Published on 11 Apr 2026 - 14:39

223

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Inverse Laplace Transform of $e^{c \cdot s^2}$

Published on 15 Apr 2026 - 3:16

675

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Prove the relation $\frac{1}{x}$=$\int^\infty_0$ $e^{-xt}$ dt, for $x>0$. Use it to prove $\int^\infty_0$ $\frac{\sin(x)}{x}$ dx = $\frac{\pi}{2}$

Published on 17 Apr 2026 - 3:47

657

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Evaluation of integral $\int_{0}^{\infty}\frac{\sin x}{x\left ( 1+x^2 \right )^2}\,{\rm d}x$

Published on 16 Apr 2026 - 20:54

List Question

Convergence of $\int_0 ^\infty \frac {dx}{\sqrt {1+x^3}}$

Improper Integral - Multiple Choice Problem - $I$

Explain why the integral $\int_{-\infty}^\infty x \,dx$ does not exist

How $\int_{-\infty}^{\infty}\frac{dx}{1+x^2}$ exists?

Integral $\int_0^\infty e^{-x/2}x\log(1+kx^2)\,dx$

Divergence/convergence of an integral $\int_{-\infty}^{+\infty} (1-e^{ix}) |x|^{-n} dx$

Proof some 2 D Fourier transforms

Evaluating $\int_0^\infty dn \, \frac{x^n}{(3n+1)(3n+2)}$

Evaluate an integral quickly

Convergence of $\int_0^{\infty} x \cos (x^6)\,dx$

Question about computing a Complicated integral

Evaluation of an integral using nonrigorous methods

Inverse Laplace Transform of $e^{c \cdot s^2}$

Prove the relation $\frac{1}{x}$=$\int^\infty_0$ $e^{-xt}$ dt, for $x>0$. Use it to prove $\int^\infty_0$ $\frac{\sin(x)}{x}$ dx = $\frac{\pi}{2}$

Evaluation of integral $\int_{0}^{\infty}\frac{\sin x}{x\left ( 1+x^2 \right )^2}\,{\rm d}x$

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