Question

Is this proof of the following integrals fine $\int_{0}^{1} \frac{\ln(1+x)}{x} dx$?

score 154 · Answer 1 · 2026-04-16 18:33:37

154

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Is this proof of the following integrals fine $\int_{0}^{1} \frac{\ln(1+x)}{x} dx$?

Published on 16 Apr 2026 - 18:33

score 31 · Answer 2 · 2026-04-13 12:30:07

31

Views

Logistic growth of a population

Published on 13 Apr 2026 - 12:30

score 72 · Answer 3 · 2026-04-13 05:12:35

72

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Find the function $f(x)$ from given condition

Published on 13 Apr 2026 - 5:12

score 135 · Answer 4 · 2026-04-24 01:10:30

135

Views

Prove $\int_{\mathbb{R}^N}u^a\nabla u\cdot\nabla\Delta u=C(\int_{\mathbb{R}^N}|D^2 (u^{(a+2)/2})|^2+\int_{\mathbb{R}^N}|\nabla(u^{(a+2)/4})|^4)$

Published on 24 Apr 2026 - 1:10

score 2.3k · Answer 5 · 2026-05-14 18:24:20

2.3k

Views

Find the area under the curve: $r = 2 \sin (3\theta)$

Published on 14 May 2026 - 18:24

score 53 · Answer 6 · 2026-04-10 05:51:04

53

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Integral of function in $R^2$ - Sobolev space

Published on 10 Apr 2026 - 5:51

score 44 · Answer 7 · 2026-04-14 23:09:51

44

Views

Why is this integral equal to $\frac{2\sinh(\pi)}{(1+n^2)\pi}$

Published on 14 Apr 2026 - 23:09

score 43 · Answer 8 · 2026-04-16 15:28:07

43

Views

Why is this integral equal to $-\frac{2n}{\pi}\cdot\frac{\cos({1\over2}\pi n)}{n^2-1}$

Published on 16 Apr 2026 - 15:28

score 604 · Answer 9 · 2026-04-13 04:02:13

604

Views

Taylor remainder in integral form

Published on 13 Apr 2026 - 4:02

score 36 · Answer 10 · 2026-04-11 20:24:42

36

Views

Evaluation of the double integral

Published on 11 Apr 2026 - 20:24

score 131 · Answer 11 · 2026-04-09 03:06:19

131

Views

Expanding with fractional powers

Published on 09 Apr 2026 - 3:06

score 849 · Answer 12 · 2026-04-11 20:14:39

849

Views

Do Upper and Lower Darboux Sums Converge as Norm of Partition Approaches 0?

Published on 11 Apr 2026 - 20:14

score 364 · Answer 13 · 2026-04-15 20:22:11

364

Views

Integral from yesterdays test: $\int_0^\pi {{1+\sin^2x}\over{6-\cos^2x+\left|\cos x\right|}} \sin x \cdot x \, dx$

Published on 15 Apr 2026 - 20:22

score 462 · Answer 14 · 2026-05-15 15:12:30

462

Views

Calculation of $ \int\limits_{-\pi}^\pi \cos^4(x)dx$ using Fourier series of $\cos^2(x)$

Published on 15 May 2026 - 15:12

score 283 · Answer 15 · 2026-04-12 06:07:21

283

Views

Can this be computed analytically?

Published on 12 Apr 2026 - 6:07

List Question

Is this proof of the following integrals fine $\int_{0}^{1} \frac{\ln(1+x)}{x} dx$?

Logistic growth of a population

Find the function $f(x)$ from given condition

Prove $\int_{\mathbb{R}^N}u^a\nabla u\cdot\nabla\Delta u=C(\int_{\mathbb{R}^N}|D^2 (u^{(a+2)/2})|^2+\int_{\mathbb{R}^N}|\nabla(u^{(a+2)/4})|^4)$

Find the area under the curve: $r = 2 \sin (3\theta)$

Integral of function in $R^2$ - Sobolev space

Why is this integral equal to $\frac{2\sinh(\pi)}{(1+n^2)\pi}$

Why is this integral equal to $-\frac{2n}{\pi}\cdot\frac{\cos({1\over2}\pi n)}{n^2-1}$

Taylor remainder in integral form

Evaluation of the double integral

Expanding with fractional powers

Do Upper and Lower Darboux Sums Converge as Norm of Partition Approaches 0?

Integral from yesterdays test: $\int_0^\pi {{1+\sin^2x}\over{6-\cos^2x+\left|\cos x\right|}} \sin x \cdot x \, dx$

Calculation of $ \int\limits_{-\pi}^\pi \cos^4(x)dx$ using Fourier series of $\cos^2(x)$

Can this be computed analytically?

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