List questions from multiple-integral

Published on 17 Jun 2020 - 20:24

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Why does the Riemannian volume form not follow the pattern of including derivatives?

Published on 18 Jun 2020 - 13:27

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Calculate the following integral $\iint_{T}\frac{x^2\sin(xy)}{y}\,dx\,dy$

Published on 18 Jun 2020 - 14:11

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Does $\iint_{\mathbb{R}^2}\frac{\sin(x^2+y^2)}{x^2+y^2}\,dx\,dy$ converge?

Published on 18 Jun 2020 - 17:01

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Is the metric tensor a differential form and can we integrate it?

Published on 18 Jun 2020 - 19:44

103

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Calculus 3: Integration in spherical coordinates

Published on 27 Mar 2026 - 8:55

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Calculate the volume of $D=\{(x,y,z):x^2+y^2+z^2<1,ax+by+cz<d\}$

Published on 20 Jun 2020 - 10:01

94

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Why $\int_{ \mathbb{R}^2 } \frac{dx\,dy }{(1+x^4+y^4)} $ converges?

Published on 20 Jun 2020 - 15:28

35

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calculate $\textrm{vol}(E)$ for $E=\{(w,x,y,z)|0<w<1-(x^2+y^2+z^2)^3\}$

Published on 20 Jun 2020 - 19:27

45

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Calculating the volume with triple integral

Published on 21 Jun 2020 - 11:17

155

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Double integration over a Region $D$ enclosed by circle and lines

Published on 22 Jun 2020 - 14:21

645

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Calculating the volume of an ellipsoid with triple integrals

Published on 23 Jun 2020 - 14:01

122

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calculate the integral $\int (x_1^2+x_2^2+x_3^2+x_4^2)$

Published on 23 Jun 2020 - 15:19

179

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Differentiation under the integral sign using Fubini.

Published on 24 Jun 2020 - 8:28

71

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Area of $\{(x,y)\in \mathbb{R}^2:\ 1\leq x y\leq 2, x \leq y \leq 2x\}$

Published on 24 Jun 2020 - 16:50

List Question

Finding volume of the region enclosed by $x^2+y^2-6x=0, z = \sqrt{36-x^2-y^2}$ and $z=0$

Why does the Riemannian volume form not follow the pattern of including derivatives?

Calculate the following integral $\iint_{T}\frac{x^2\sin(xy)}{y}\,dx\,dy$

Does $\iint_{\mathbb{R}^2}\frac{\sin(x^2+y^2)}{x^2+y^2}\,dx\,dy$ converge?

Is the metric tensor a differential form and can we integrate it?

Calculus 3: Integration in spherical coordinates

Calculate the volume of $D=\{(x,y,z):x^2+y^2+z^2<1,ax+by+cz<d\}$

Why $\int_{ \mathbb{R}^2 } \frac{dx\,dy }{(1+x^4+y^4)} $ converges?

calculate $\textrm{vol}(E)$ for $E=\{(w,x,y,z)|0<w<1-(x^2+y^2+z^2)^3\}$

Calculating the volume with triple integral

Double integration over a Region $D$ enclosed by circle and lines

Calculating the volume of an ellipsoid with triple integrals

calculate the integral $\int (x_1^2+x_2^2+x_3^2+x_4^2)$

Differentiation under the integral sign using Fubini.

Area of $\{(x,y)\in \mathbb{R}^2:\ 1\leq x y\leq 2, x \leq y \leq 2x\}$

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