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Finding $\int_{0}^a\int_{0}^\sqrt{a^2-y^2} (2x-3xy)\,dx\,dy$

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#integration #multivariable-calculus #multiple-integral #change-of-variable
52
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Evaluate $\iint_{S} 2 x y \,dx \,dy$ where $S=\left\{(x, y) \in \mathbb{R}^{2} \mid 0 \leq x^{2}-y^{2} \leq 1,0 \leq x y \leq 1, y \geq 0\right\}$

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#integration #multivariable-calculus #multiple-integral #change-of-variable
90
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Application of the change of variables theorem on the n-ball.

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#multivariable-calculus #change-of-variable
78
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Solving ODE by changing independent and dependent variables

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#ordinary-differential-equations #change-of-variable
231
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Converting spherical electric potential to cartesian coordinates

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#multivariable-calculus #coordinate-systems #spherical-coordinates #change-of-variable
216
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Interpreting the meaning of change in a variable

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#calculus #derivatives #partial-derivative #change-of-variable
68
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PDF of $U,V$ where $U=|X-Y|$ and $V=\operatorname{min}(X,Y)$

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#probability #probability-distributions #uniform-distribution #density-function #change-of-variable
89
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Determining a joint distribution of 3 random variables using transformation

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#probability #probability-theory #probability-distributions #density-function #change-of-variable
946
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In spherical coordinates for the region $x^2+y^2+z^2\geq1$, $x^2+y^2=z^2\leq4$, $z\geq\sqrt{x^2+y^2}$, why does $\psi$ range from $0$ to $\pi/2$?

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#multivariable-calculus #volume #spherical-coordinates #multiple-integral #change-of-variable
63
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Change of variables and Rewriting an ODE

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#ordinary-differential-equations #partial-derivative #change-of-variable
609
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Area double integral over a semicircle domain

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#multivariable-calculus #solution-verification #polar-coordinates #multiple-integral #change-of-variable
59
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Convolution or other methods for rv's transformation

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#probability-distributions #convolution #density-function #change-of-variable
137
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Interesting change of variable for a "simple" ODE

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#linear-algebra #ordinary-differential-equations #dynamical-systems #change-of-variable
345
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Double summation with infinite limit, change of index using Iverson bracket notation

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#summation #change-of-variable
546
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Line integral in polar coordinates vs change of variables

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#multivariable-calculus #coordinate-systems #polar-coordinates #line-integrals #change-of-variable

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