Question

How do you prove that a closed integral around a vector field must be a multiple of $2\pi$?

score 126 · Answer 1 · 2026-04-12 04:13:39

126

Views

How do you prove that a closed integral around a vector field must be a multiple of $2\pi$?

Published on 12 Apr 2026 - 4:13

score 4k · Answer 2 · 2026-04-10 12:13:44

4k

Views

Inequality involving supremum and integral

Published on 10 Apr 2026 - 12:13

score 62 · Answer 3 · 2026-04-11 16:04:51

62

Views

Convergence of Riemann integral of composition of functions

Published on 11 Apr 2026 - 16:04

score 79 · Answer 4 · 2026-04-16 14:37:11

79

Views

Find the volume $V_y$ of the figure bounded by the lines $y=x^2,x=3,y=0$

Published on 16 Apr 2026 - 14:37

score 50 · Answer 5 · 2026-04-16 22:18:53

50

Views

If $\int_{0+}^{1-} |f(x)|^p dx$ converges for some $p > 1$, then$\int_{0+}^{1-} |f(x)| dx$ converges.

Published on 16 Apr 2026 - 22:18

score 80 · Answer 6 · 2026-04-16 13:03:26

80

Views

If $\lim_{x\rightarrow \infty} f(x) = 0, \int_a^\infty f'(x)dx$ is absolutely convergent, prove that $\int_a^\infty f(x)\sin x dx$ converges

Published on 16 Apr 2026 - 13:03

score 89 · Answer 7 · 2026-04-16 15:32:37

89

Views

Does formula $\int_a^b \frac{f(x)}{g(x)}dx = \frac{\int_a^b {f(x)}dx}{\int_a^b{g(x)}dx}$ hold?

Published on 16 Apr 2026 - 15:32

score 156 · Answer 8 · 2026-04-24 13:01:55

156

Views

Difficult change of variables: region of integration

Published on 24 Apr 2026 - 13:01

score 32 · Answer 9 · 2026-04-13 19:14:18

32

Views

Finding general solution of first order

Published on 13 Apr 2026 - 19:14

score 129 · Answer 10 · 2026-04-15 17:25:46

129

Views

Gaussian integral with $iax^2+iJx-\sigma^2x^2/2$

Published on 15 Apr 2026 - 17:25

score 40 · Answer 11 · 2026-04-13 15:07:08

40

Views

change boundary to theta

Published on 13 Apr 2026 - 15:07

score 73 · Answer 12 · 2026-04-14 08:43:21

73

Views

Ellipse rotating around multiple axis'

Published on 14 Apr 2026 - 8:43

score 106 · Answer 13 · 2026-04-09 00:42:00

106

Views

How to find this integration using Leibniz rule

Published on 09 Apr 2026 - 0:42

score 67 · Answer 14 · 2026-04-12 18:19:57

67

Views

Showing a specific function is Riemann integrable

Published on 12 Apr 2026 - 18:19

score 129 · Answer 15 · 2026-04-29 21:50:03

129

Views

Compute the limit $ \lim_{x\to \infty}\frac{1}{x}\int_0^x\frac{1}{2+\cos t}dt$

Published on 29 Apr 2026 - 21:50

List Question

How do you prove that a closed integral around a vector field must be a multiple of $2\pi$?

Inequality involving supremum and integral

Convergence of Riemann integral of composition of functions

Find the volume $V_y$ of the figure bounded by the lines $y=x^2,x=3,y=0$

If $\int_{0+}^{1-} |f(x)|^p dx$ converges for some $p > 1$, then$\int_{0+}^{1-} |f(x)| dx$ converges.

If $\lim_{x\rightarrow \infty} f(x) = 0, \int_a^\infty f'(x)dx$ is absolutely convergent, prove that $\int_a^\infty f(x)\sin x dx$ converges

Does formula $\int_a^b \frac{f(x)}{g(x)}dx = \frac{\int_a^b {f(x)}dx}{\int_a^b{g(x)}dx}$ hold?

Difficult change of variables: region of integration

Finding general solution of first order

Gaussian integral with $iax^2+iJx-\sigma^2x^2/2$

change boundary to theta

Ellipse rotating around multiple axis'

How to find this integration using Leibniz rule

Showing a specific function is Riemann integrable

Compute the limit $ \lim_{x\to \infty}\frac{1}{x}\int_0^x\frac{1}{2+\cos t}dt$

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