Question

The improper integrals of $\frac{\sin t}{t}$ and $\left|\frac{\sin t}{t}\right|$

score 811 · Answer 1 · 2026-05-04 18:13:54

811

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The improper integrals of $\frac{\sin t}{t}$ and $\left|\frac{\sin t}{t}\right|$

Published on 04 May 2026 - 18:13

score 6.4k · Answer 2 · 2026-04-16 03:58:16

6.4k

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Definite integral of $\ln(x) \ln(1-x)$ from $x= 0$ to $1$

Published on 16 Apr 2026 - 3:58

score 111 · Answer 3 · 2026-04-16 15:03:19

111

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Divergence of $\int \limits_{1}^{+ \infty} \frac{x \sin(\log^2(x))}{\log(x+1)}dx$

Published on 16 Apr 2026 - 15:03

score 487 · Answer 4 · 2026-04-17 09:45:57

487

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Prove Fourier Transformation: $\int_{-\infty}^{\infty} \Theta(t) \sin (w_0 t) e^{- i w t} \,dt =- \frac{w_0}{ w^2-w_0^2 +i \text{sgn}(w)0^{+}}$

Published on 17 Apr 2026 - 9:45

score 563 · Answer 5 · 2026-04-15 23:12:45

563

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How to take $\int_1^{+\infty} \frac{dx}{x\sqrt{1+x^5+x^{10}}}$?

Published on 15 Apr 2026 - 23:12

score 190 · Answer 6 · 2026-04-16 10:32:09

190

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How to take $\int_{-\infty}^{+\infty} \frac{dx}{(x^2+x+1)^2}$?

Published on 16 Apr 2026 - 10:32

score 62 · Answer 7 · 2026-04-17 03:05:13

62

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test convergence of $\int_\pi^\infty{\frac{x \cos x}{x^2-1}dx}$

Published on 17 Apr 2026 - 3:05

score 258 · Answer 8 · 2026-04-10 00:12:19

258

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How to calculate Fourier transform of this function?

Published on 10 Apr 2026 - 0:12

score 6.3k · Answer 9 · 2026-04-12 10:13:48

6.3k

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Normalizing an exponential distribution

Published on 12 Apr 2026 - 10:13

score 1.5k · Answer 10 · 2026-04-16 14:13:07

1.5k

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How to take $\int_0^{+\infty} \frac{x^2+1}{x^4+1}dx$?

Published on 16 Apr 2026 - 14:13

score 148 · Answer 11 · 2026-04-14 18:13:46

148

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Prove that limit of integral is 0 (without dominated convergence theorem)

Published on 14 Apr 2026 - 18:13

score 101 · Answer 12 · 2026-04-17 06:55:29

101

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intergral $\int _{ 1 }^{ \infty }{ \sqrt { \frac { x+2 }{ { x }^{ 4 }-1 } } dx } $

Published on 17 Apr 2026 - 6:55

score 1.9k · Answer 13 · 2026-04-15 22:51:00

1.9k

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Convergence of $\int_0^1 x\log(x)\,dx$

Published on 15 Apr 2026 - 22:51

score 161 · Answer 14 · 2026-04-16 05:17:29

161

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How to solve $\int_0^{+\infty} \frac{x\mathrm{ln}x}{(1+x^2)^2}dx$?

Published on 16 Apr 2026 - 5:17

score 150 · Answer 15 · 2026-04-15 13:33:05

150

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Improper integral of $\int_{0}^{\infty}\dfrac{t}{e^{2\pi t}-1}dt$

Published on 15 Apr 2026 - 13:33

List Question

The improper integrals of $\frac{\sin t}{t}$ and $\left|\frac{\sin t}{t}\right|$

Definite integral of $\ln(x) \ln(1-x)$ from $x= 0$ to $1$

Divergence of $\int \limits_{1}^{+ \infty} \frac{x \sin(\log^2(x))}{\log(x+1)}dx$

Prove Fourier Transformation: $\int_{-\infty}^{\infty} \Theta(t) \sin (w_0 t) e^{- i w t} \,dt =- \frac{w_0}{ w^2-w_0^2 +i \text{sgn}(w)0^{+}}$

How to take $\int_1^{+\infty} \frac{dx}{x\sqrt{1+x^5+x^{10}}}$?

How to take $\int_{-\infty}^{+\infty} \frac{dx}{(x^2+x+1)^2}$?

test convergence of $\int_\pi^\infty{\frac{x \cos x}{x^2-1}dx}$

How to calculate Fourier transform of this function?

Normalizing an exponential distribution

How to take $\int_0^{+\infty} \frac{x^2+1}{x^4+1}dx$?

Prove that limit of integral is 0 (without dominated convergence theorem)

intergral $\int _{ 1 }^{ \infty }{ \sqrt { \frac { x+2 }{ { x }^{ 4 }-1 } } dx } $

Convergence of $\int_0^1 x\log(x)\,dx$

How to solve $\int_0^{+\infty} \frac{x\mathrm{ln}x}{(1+x^2)^2}dx$?

Improper integral of $\int_{0}^{\infty}\dfrac{t}{e^{2\pi t}-1}dt$

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