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Find the area of ​the plane region defined by $x^{2/3}+y^{2/3}≤ 1$ , $x≥0$ , $y≥0$ using a change of variables

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#integration #definite-integrals #polar-coordinates #jacobian #iterated-integrals
54
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How to denote an iterated integral with respect to a set of variables?

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#integration #notation #iterated-integrals
138
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Stokes' theorem for the vector field $\vec{F}(x,y,z)=(y,-x,xz)$ on the surface $z=9-x^2-y^2$

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#integration #vector-fields #parametrization #stokes-theorem #iterated-integrals
111
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Solve $\int_{0}^{1}\int_{0}^{1-y} xy\sqrt{(1-x-y)}dxdy$

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#integration #polar-coordinates #riemann-integration #iterated-integrals
26
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Two double integrals (in terms of polar) producing the same result?

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#multivariable-calculus #iterated-integrals
79
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Can I change the order of integration when the upper limits are infinite?

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#integration #derivatives #fubini-tonelli-theorems #leibniz-integral-rule #iterated-integrals
42
Views

Does Fubini's theorem apply on this infinite region?

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#lebesgue-integral #lebesgue-measure #change-of-variable #fubini-tonelli-theorems #iterated-integrals
150
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triple integral over a specific region

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#integration #definite-integrals #volume #iterated-integrals
86
Views

Iterated integral change the order and go to polar coordinates

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#integration #solution-verification #polar-coordinates #change-of-variable #iterated-integrals
42
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Find the volume of a body formed by a cylinder and a hyperboloid

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#integration #cylindrical-coordinates #iterated-integrals
54
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Find the volume of a body bounded by surfaces

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#integration #volume #iterated-integrals
108
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If all projections on the axis are integrable, do the iterated integrals exist?

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#definite-integrals #riemann-integration #iterated-integrals
139
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Double integral of $\frac{x}{1+x^2+y^2}$

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#calculus #integration #polar-coordinates #iterated-integrals
66
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Limits of triple integral over a tetrahedron.

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#multivariable-calculus #solution-verification #vector-analysis #volume #iterated-integrals
32
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Volume of Same Region Yields Different Values

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#multivariable-calculus #definite-integrals #volume #iterated-integrals

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