Question

Spivak Calculus on Manifolds - Problem 3-21 Help with details of proof

score 326 · Answer 1 · 2026-05-04 14:48:53

326

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Spivak Calculus on Manifolds - Problem 3-21 Help with details of proof

Published on 04 May 2026 - 14:48

score 84 · Answer 2 · 2026-04-17 03:54:45

84

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Find $\int_a^b x \sin x dx $ , given $ \int_a^b |\sin x| dx$ and $\int_0^{a+b} |\cos x| dx $

Published on 17 Apr 2026 - 3:54

score 278 · Answer 3 · 2026-05-06 09:46:35

278

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Using complex method to evaluate $\int_0^\infty\frac{\ln(1+x)}{1+x^2}dx$

Published on 06 May 2026 - 9:46

score 134 · Answer 4 · 2026-04-11 06:20:30

134

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Integration and Increasing Water Levels

Published on 11 Apr 2026 - 6:20

score 97 · Answer 5 · 2026-04-15 22:10:15

97

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How to approximate integral of $e^{x \cos \phi}$ when $x \gg 1$?

Published on 15 Apr 2026 - 22:10

score 288 · Answer 6 · 2026-04-16 02:51:12

288

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Compute $\int_0^{2\pi} \frac 1{\sin^4x+\cos^4x}dx$

Published on 16 Apr 2026 - 2:51

score 117 · Answer 7 · 2026-04-17 07:26:25

117

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$0\leq f,g\in C^{1},\int_{a}^{b}\sqrt{f}\geq\int_{a}^{b}\sqrt{g}\implies\int_a^b f\geq\int_{a}^{b}g$?

Published on 17 Apr 2026 - 7:26

score 88 · Answer 8 · 2026-04-10 01:22:51

88

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Trouble following proof of Rule of Iterated Expectations

Published on 10 Apr 2026 - 1:22

score 172 · Answer 9 · 2026-04-14 17:10:06

172

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Can anyone solve this integral? $\int_{-\infty}^{\infty}\sqrt{x^4+1}-x^2dx$

Published on 14 Apr 2026 - 17:10

score 245 · Answer 10 · 2026-05-10 12:32:53

245

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How to get the closed form of integration of sigmoid function multiply normal distribution density function

Published on 10 May 2026 - 12:32

score 86 · Answer 11 · 2026-04-16 16:19:43

86

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Explain why would someone factorise $-\int_{-2}^{3}(x^2-x-6)\,\mathrm dx$ to get $\frac{1}{6}(3+2)^3$

Published on 16 Apr 2026 - 16:19

score 265 · Answer 12 · 2026-04-17 07:40:54

265

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Prove $\int_\alpha ^\beta (x-\alpha)(x-\beta)dx = -\frac{1}{6}(\beta -\alpha )^3$

Published on 17 Apr 2026 - 7:40

score 129 · Answer 13 · 2026-05-11 09:14:06

129

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Complex integral with $\int_{+\partial D}\frac{\sin\left(\frac{1}{z}\right)\cos\left(\frac{1}{z-2}\right)}{z-5}\mathrm{dz}$

Published on 11 May 2026 - 9:14

score 258 · Answer 14 · 2026-04-16 20:00:20

258

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Evaluate $\int \sqrt {3 \tan^2 \theta - 1} d \theta$

Published on 16 Apr 2026 - 20:00

score 132 · Answer 15 · 2026-05-14 16:02:44

132

Views

Is $\int_{\infty}^{\infty^2} f(t) dt$ always $0$?

Published on 14 May 2026 - 16:02

List Question

Spivak Calculus on Manifolds - Problem 3-21 Help with details of proof

Find $\int_a^b x \sin x dx $ , given $ \int_a^b |\sin x| dx$ and $\int_0^{a+b} |\cos x| dx $

Using complex method to evaluate $\int_0^\infty\frac{\ln(1+x)}{1+x^2}dx$

Integration and Increasing Water Levels

How to approximate integral of $e^{x \cos \phi}$ when $x \gg 1$?

Compute $\int_0^{2\pi} \frac 1{\sin^4x+\cos^4x}dx$

$0\leq f,g\in C^{1},\int_{a}^{b}\sqrt{f}\geq\int_{a}^{b}\sqrt{g}\implies\int_a^b f\geq\int_{a}^{b}g$?

Trouble following proof of Rule of Iterated Expectations

Can anyone solve this integral? $\int_{-\infty}^{\infty}\sqrt{x^4+1}-x^2dx$

How to get the closed form of integration of sigmoid function multiply normal distribution density function

Explain why would someone factorise $-\int_{-2}^{3}(x^2-x-6)\,\mathrm dx$ to get $\frac{1}{6}(3+2)^3$

Prove $\int_\alpha ^\beta (x-\alpha)(x-\beta)dx = -\frac{1}{6}(\beta -\alpha )^3$

Complex integral with $\int_{+\partial D}\frac{\sin\left(\frac{1}{z}\right)\cos\left(\frac{1}{z-2}\right)}{z-5}\mathrm{dz}$

Evaluate $\int \sqrt {3 \tan^2 \theta - 1} d \theta$

Is $\int_{\infty}^{\infty^2} f(t) dt$ always $0$?

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