List questions from multiple-integral

Published on 03 Aug 2021 - 6:12

57

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Properly express the integral to interchange the order of integration

Published on 03 Aug 2021 - 18:51

93

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Mass with triple integral

Published on 08 Aug 2021 - 16:28

69

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Is the integral $\iint _ {D}f(x,y)dA$ necessarily defined?

Published on 14 Aug 2021 - 3:34

59

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Evaluate a coordinate of the center of mass of the solid $A$ with constant density $1$

Published on 14 Aug 2021 - 16:42

691

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Riemann vs. Darboux integrability for multiple integrals

Published on 01 Apr 2026 - 16:28

230

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6-dimensional integral with strange result

Published on 17 Aug 2021 - 15:48

80

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Evaluating $\iint_R x^2\,\mathrm dA$

Published on 21 Aug 2021 - 11:04

72

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Why does $Q(C)=\int_0^1\int_0^{x_n}\cdots\int_0^{x_3}\int_0^{x_2} dx_1\,dx_2\cdots dx_{n-1}\,dx_n$?

Published on 23 Aug 2021 - 14:26

1.6k

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Calculate the volume between $z=\sqrt{x^2+y^2}$ and $z=x^2+y^2$.

Published on 23 Aug 2021 - 15:25

57

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Function $f(x,y)=\left\{ \begin{array}{cl} \frac{y^2-x^2}{(x^2+y^2)^2} &, \,0<x, y\le1\\ 0 &,\,x=y=0 \end{array}\right.$

Published on 24 Aug 2021 - 17:01

89

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How to find $ \iint_{D_R}e^{-x}\arctan(\frac{y}{x})\,dx\,dy\,$?

Published on 25 Aug 2021 - 7:24

69

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Calculate $ \int \int_{R^2} \frac{dxdy}{(1+4x^2+9y^2)^2}$.

Published on 30 Mar 2026 - 7:09

240

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Write a double integral for surface area of cone $z=1-\sqrt{x^2+y^2}$ above the plane $x+2z+1=0$.

Published on 29 Aug 2021 - 15:12

109

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Surface integral over a half-ellipsoid

Published on 26 Mar 2026 - 4:29

List Question

Showing a Set With Specific Properties is a Set of Zero Content

Properly express the integral to interchange the order of integration

Mass with triple integral

Is the integral $\iint _ {D}f(x,y)dA$ necessarily defined?

Evaluate a coordinate of the center of mass of the solid $A$ with constant density $1$

Riemann vs. Darboux integrability for multiple integrals

6-dimensional integral with strange result

Evaluating $\iint_R x^2\,\mathrm dA$

Why does $Q(C)=\int_0^1\int_0^{x_n}\cdots\int_0^{x_3}\int_0^{x_2} dx_1\,dx_2\cdots dx_{n-1}\,dx_n$?

Calculate the volume between $z=\sqrt{x^2+y^2}$ and $z=x^2+y^2$.

Function $f(x,y)=\left\{ \begin{array}{cl} \frac{y^2-x^2}{(x^2+y^2)^2} &, \,0<x, y\le1\\ 0 &,\,x=y=0 \end{array}\right.$

How to find $ \iint_{D_R}e^{-x}\arctan(\frac{y}{x})\,dx\,dy\,$?

Calculate $ \int \int_{R^2} \frac{dxdy}{(1+4x^2+9y^2)^2}$.

Write a double integral for surface area of cone $z=1-\sqrt{x^2+y^2}$ above the plane $x+2z+1=0$.

Surface integral over a half-ellipsoid

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