Question

Evaluating $\int_{0}^{\infty}\frac{\cos(x/a)-1}{x}\cdot\cos(x)\ln(x) dx$

score 287 · Answer 1 · 2026-04-16 18:55:14

287

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Evaluating $\int_{0}^{\infty}\frac{\cos(x/a)-1}{x}\cdot\cos(x)\ln(x) dx$

Published on 16 Apr 2026 - 18:55

score 1k · Answer 2 · 2026-04-17 11:03:20

1k

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A closed form for $\int_0^\pi \lvert \sin(m t) \cos(n t) \rvert \, \mathrm{d} t$

Published on 17 Apr 2026 - 11:03

score 162 · Answer 3 · 2026-04-16 15:06:38

162

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Trying to $\int_{0}^{\pi/2}\cos(2x)\ln^2(\tan(x/2)) dx$

Published on 16 Apr 2026 - 15:06

score 436 · Answer 4 · 2026-04-17 03:56:19

436

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Find the area enclosed by the ellipse

Published on 17 Apr 2026 - 3:56

score 50 · Answer 5 · 2026-04-08 19:11:20

50

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Can a limit be changed twice when evaluating an integral?

Published on 08 Apr 2026 - 19:11

score 150 · Answer 6 · 2026-04-16 04:04:39

150

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Work out $\int_{0}^{\pi/2}\cos^{2n}(x)\ln\sin(x) dx$

Published on 16 Apr 2026 - 4:04

score 394 · Answer 7 · 2026-04-16 03:42:15

394

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Trying to solve $\int_{0}^{\infty}\frac{\operatorname{arccot}\left(\sqrt{1+x}+\sqrt{2+x}\right)}{1+x} dx$

Published on 16 Apr 2026 - 3:42

score 198 · Answer 8 · 2026-04-10 15:50:28

198

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Evaluating a common integral for $\arcsin(x)$ using a different method

Published on 10 Apr 2026 - 15:50

score 220 · Answer 9 · 2026-04-15 20:46:41

220

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Work out $\int_{0}^{1}t^2\cos(2t\pi)\tan(t\pi)\ln[\sin(t\pi)]dt$

Published on 15 Apr 2026 - 20:46

score 69 · Answer 10 · 2026-04-17 01:23:25

69

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Evaluate $\int_{\alpha_0}^{\alpha}\frac{\sec^2{\alpha} \ d\alpha}{\Vert\vec{r}-\vec{r_Q} \Vert}$

Published on 17 Apr 2026 - 1:23

score 109 · Answer 11 · 2026-04-15 12:11:19

109

Views

why radians can be converted to reals in calculus?

Published on 15 Apr 2026 - 12:11

score 181 · Answer 12 · 2026-04-17 13:46:49

181

Views

Evaluate $\int_{0}^{\infty}\frac{dx}{(x+\sqrt{1+x^2})^{2n}}\cdot \frac{1}{1+x^2}$

Published on 17 Apr 2026 - 13:46

score 252 · Answer 13 · 2026-04-15 15:18:48

252

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Trying to evaluate $\int_{0}^{\pi/2}x^s\cot x\arctan(\cot x) dx$

Published on 15 Apr 2026 - 15:18

score 399 · Answer 14 · 2026-04-16 16:15:22

399

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Evaluate $I_n=\int_0^{\pi/2} \frac{1}{\left( a\cos^2x+b\sin^2x\right)^n} \, dx$

Published on 16 Apr 2026 - 16:15

score 481 · Answer 15 · 2026-04-16 13:14:30

481

Views

Integral $\int\sec^2(4x)\tan^2(4x)\,\mathrm{d}x$.

Published on 16 Apr 2026 - 13:14

List Question

Evaluating $\int_{0}^{\infty}\frac{\cos(x/a)-1}{x}\cdot\cos(x)\ln(x) dx$

A closed form for $\int_0^\pi \lvert \sin(m t) \cos(n t) \rvert \, \mathrm{d} t$

Trying to $\int_{0}^{\pi/2}\cos(2x)\ln^2(\tan(x/2)) dx$

Find the area enclosed by the ellipse

Can a limit be changed twice when evaluating an integral?

Work out $\int_{0}^{\pi/2}\cos^{2n}(x)\ln\sin(x) dx$

Trying to solve $\int_{0}^{\infty}\frac{\operatorname{arccot}\left(\sqrt{1+x}+\sqrt{2+x}\right)}{1+x} dx$

Evaluating a common integral for $\arcsin(x)$ using a different method

Work out $\int_{0}^{1}t^2\cos(2t\pi)\tan(t\pi)\ln[\sin(t\pi)]dt$

Evaluate $\int_{\alpha_0}^{\alpha}\frac{\sec^2{\alpha} \ d\alpha}{\Vert\vec{r}-\vec{r_Q} \Vert}$

why radians can be converted to reals in calculus?

Evaluate $\int_{0}^{\infty}\frac{dx}{(x+\sqrt{1+x^2})^{2n}}\cdot \frac{1}{1+x^2}$

Trying to evaluate $\int_{0}^{\pi/2}x^s\cot x\arctan(\cot x) dx$

Evaluate $I_n=\int_0^{\pi/2} \frac{1}{\left( a\cos^2x+b\sin^2x\right)^n} \, dx$

Integral $\int\sec^2(4x)\tan^2(4x)\,\mathrm{d}x$.

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