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15
153
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Volume of simplex - looking for a clever transformation of variables

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#integration #measure-theory #volume #change-of-variable #simplex
195
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Triple integral - possible change of variables? Tried using cylindrical coordinates.

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#multivariable-calculus #definite-integrals #multiple-integral #change-of-variable
166
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Understanding change of variables in double integrals

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#change-of-variable
155
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How to apply Change of Variable theorem with Probability Integral Transform?

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#random-variables #density-function #change-of-variable #gaussian
41
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How to find probability density of a transformed uniform RV?

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#probability-distributions #density-function #change-of-variable
558
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Proving the Fourier equation: $\frac{1}{2} L - x = \frac{L}{\pi}\sum^\infty_{n=1}\frac{1}{n} \sin\frac{2n\pi x}{L}$

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#fourier-series #trigonometric-series #change-of-variable
95
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Transformations with Inverse Gamma RVs

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#probability-distributions #density-function #change-of-variable
53
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Let $Z\sim N(0,1)$, $X=Z^2$, $Y=e^{-X}$. Compute the expectations to confirm change of variables.

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#integration #probability-theory #change-of-variable
63
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Integral, change of variables into rectangle

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#integration #multivariable-calculus #change-of-variable
53
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Transform integral bounds when changing to polar coordinates

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#multivariable-calculus #change-of-variable
133
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Change of variables when integrating over matrices

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#integration #matrices #change-of-variable
199
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Integration of product of logarithm

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#integration #logarithms #power-series #change-of-variable
310
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Why to use dummy variables in definite integrals?

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#calculus #integration #definite-integrals #change-of-variable
130
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What is wrong with this way of calculating a volume element?

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#calculus #multivariable-calculus #differential-geometry #vector-analysis #change-of-variable
112
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Compute $\frac{4}{5}\pi \int_0^{2\pi}\int_0^1\sqrt{v^2-2 v\cos\theta+1}\>v{\rm d}v\, {\rm d}\theta$

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#integration #definite-integrals #multiple-integral #change-of-variable

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