List questions from improper-integrals

Published on 17 Apr 2026 - 8:56

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Arithmetic mean of $L^2$ function is $L^2$

Published on 16 Apr 2026 - 18:38

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On the inequality $ \int_{-\infty}^{+\infty}\frac{(p'(x))^2}{(p'(x))^2+(p(x))^2}\,dx \le n^{3/2}\pi.$

Published on 17 Apr 2026 - 3:36

109

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Evaluate $\lim _{x\to \infty }\frac{1}{x}\int _0^x\cos\left(t\right)dt\:$

Published on 17 Apr 2026 - 7:47

124

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How to prove and evaluate an Improper Integral

Published on 14 Apr 2026 - 9:05

45

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Conditions on $f(t)$ so that $\int_{-\infty}^\infty f(t) \operatorname{sinc}(t-a) \operatorname{sinc}(t-b) dt$ converges.

Published on 15 Apr 2026 - 3:18

420

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Evaluating an integral using Gamma function

Published on 08 Apr 2026 - 19:29

162

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Calculating Fourier Transform of $\sum_{n=1}^{3}\sin(2\pi \frac{n}{8}\frac{t}{T})$

Published on 15 Apr 2026 - 9:11

128

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Compute the integral $\int_{0}^{\infty} \frac{(1 + x + x^2)}{(1+x^4)} dx $ with a residue on suitable contour.

Published on 16 Apr 2026 - 13:22

154

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Dirichlet integral using real Analysis

Published on 09 Apr 2026 - 13:28

554

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What is the largest function whose integral still converges?

Published on 08 Apr 2026 - 21:31

397

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Improper integrals using comparison theorem

Published on 11 Apr 2026 - 9:18

199

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Find the inverse fourier transform of simple function

Published on 14 Apr 2026 - 2:29

310

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How to compute this triple integral?

Published on 10 Apr 2026 - 17:25

82

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Applying contour integration to $\int_{0}^{\pi}dx\frac{cos(x)}{\sqrt{x^2 + x_0^2}}$

Published on 17 Apr 2026 - 11:41

List Question

Compute $\int_{0}^{\infty}\frac{x \log(x)}{(1+x^2)^2}dx$

Arithmetic mean of $L^2$ function is $L^2$

On the inequality $ \int_{-\infty}^{+\infty}\frac{(p'(x))^2}{(p'(x))^2+(p(x))^2}\,dx \le n^{3/2}\pi.$

Evaluate $\lim _{x\to \infty }\frac{1}{x}\int _0^x\cos\left(t\right)dt\:$

How to prove and evaluate an Improper Integral

Conditions on $f(t)$ so that $\int_{-\infty}^\infty f(t) \operatorname{sinc}(t-a) \operatorname{sinc}(t-b) dt$ converges.

Evaluating an integral using Gamma function

Calculating Fourier Transform of $\sum_{n=1}^{3}\sin(2\pi \frac{n}{8}\frac{t}{T})$

Compute the integral $\int_{0}^{\infty} \frac{(1 + x + x^2)}{(1+x^4)} dx $ with a residue on suitable contour.

Dirichlet integral using real Analysis

What is the largest function whose integral still converges?

Improper integrals using comparison theorem

Find the inverse fourier transform of simple function

How to compute this triple integral?

Applying contour integration to $\int_{0}^{\pi}dx\frac{cos(x)}{\sqrt{x^2 + x_0^2}}$

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