Question

Integral in terms of a parametric variable

score 116 · Answer 1 · 2026-04-11 18:39:34

116

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Integral in terms of a parametric variable

Published on 11 Apr 2026 - 18:39

score 468 · Answer 2 · 2026-04-17 12:18:47

468

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Evaluate $\int_0^{\pi/2}\ln^2(\sin\theta)\,\mathrm d\theta$

Published on 17 Apr 2026 - 12:18

score 59 · Answer 3 · 2026-04-16 11:31:48

59

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How do I solve $\int_1^{2}\frac{(\ln{x})^2}{x^3} dx$?

Published on 16 Apr 2026 - 11:31

score 138 · Answer 4 · 2026-04-11 05:54:17

138

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How to calculate this triple integral?

Published on 11 Apr 2026 - 5:54

score 1.1k · Answer 5 · 2026-04-14 20:14:45

1.1k

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Classify the following function as increasing or decreasing

Published on 14 Apr 2026 - 20:14

score 80 · Answer 6 · 2026-04-15 19:01:19

80

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Calculating the definite integral $\int_0^{+∞}\frac{\sinh^2(bx)}{x(e^{ax}+1)}\,\mathrm dx$

Published on 15 Apr 2026 - 19:01

score 247 · Answer 7 · 2026-04-17 04:34:23

247

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Evaluate $\lim\limits_{n\to+\infty}\int_{0}^{1}\ln(1-x^2+2x^{n}+x^{2n}){\rm d}x$.

Published on 17 Apr 2026 - 4:34

score 411 · Answer 8 · 2026-04-17 16:03:40

411

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Evaluate $\int_{0}^{\infty} \frac{x \exp\left\{-\beta^2 x^2\right\}}{\sinh \left(\frac{\pi x}{2}\right)} \mathrm{d} x$

Published on 17 Apr 2026 - 16:03

score 329 · Answer 9 · 2026-04-11 06:19:26

329

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Integral involving K modified Bessel function with respect to order

Published on 11 Apr 2026 - 6:19

score 1.3k · Answer 10 · 2026-04-14 23:20:34

1.3k

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Integrate function of a Gaussian white noise process w.r.t. time?

Published on 14 Apr 2026 - 23:20

score 1.1k · Answer 11 · 2026-04-15 20:59:32

1.1k

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Evaluate $\lim_{n\rightarrow\infty}\sum_{k=1}^n\arcsin(\frac k{n^2})$

Published on 15 Apr 2026 - 20:59

score 48 · Answer 12 · 2026-04-16 06:58:21

48

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If $f \in L^{p}(0,\infty)$, $p \in [1, +\infty)$, find $\lim_{n \to \infty} \int_{0}^{\infty} \frac{\tan{\frac{\pi}{2(1+n^{p}x)}}}{n\ln{(1+x)}}f(x)dx$

Published on 16 Apr 2026 - 6:58

score 26 · Answer 13 · 2026-04-08 21:53:20

26

Views

Clearing up confusion about integrating two functions

Published on 08 Apr 2026 - 21:53

score 254 · Answer 14 · 2026-04-15 19:09:03

254

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Is this integral $\int_0^\infty\frac{\cos(a x+ 2b \arctan x)}{x^2+1}dx$ exactly zero when $b\in\mathbb{N}$?

Published on 15 Apr 2026 - 19:09

score 36 · Answer 15 · 2026-04-10 23:24:14

36

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Limit for integral evaluation

Published on 10 Apr 2026 - 23:24

List Question

Integral in terms of a parametric variable

Evaluate $\int_0^{\pi/2}\ln^2(\sin\theta)\,\mathrm d\theta$

How do I solve $\int_1^{2}\frac{(\ln{x})^2}{x^3} dx$?

How to calculate this triple integral?

Classify the following function as increasing or decreasing

Calculating the definite integral $\int_0^{+∞}\frac{\sinh^2(bx)}{x(e^{ax}+1)}\,\mathrm dx$

Evaluate $\lim\limits_{n\to+\infty}\int_{0}^{1}\ln(1-x^2+2x^{n}+x^{2n}){\rm d}x$.

Evaluate $\int_{0}^{\infty} \frac{x \exp\left\{-\beta^2 x^2\right\}}{\sinh \left(\frac{\pi x}{2}\right)} \mathrm{d} x$

Integral involving K modified Bessel function with respect to order

Integrate function of a Gaussian white noise process w.r.t. time?

Evaluate $\lim_{n\rightarrow\infty}\sum_{k=1}^n\arcsin(\frac k{n^2})$

If $f \in L^{p}(0,\infty)$, $p \in [1, +\infty)$, find $\lim_{n \to \infty} \int_{0}^{\infty} \frac{\tan{\frac{\pi}{2(1+n^{p}x)}}}{n\ln{(1+x)}}f(x)dx$

Clearing up confusion about integrating two functions

Is this integral $\int_0^\infty\frac{\cos(a x+ 2b \arctan x)}{x^2+1}dx$ exactly zero when $b\in\mathbb{N}$?

Limit for integral evaluation

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