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Tagged with bounds-of-integration change-of-variable
2
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Find the density of random variable $X+Y$ for $f(x,y) = 6(x-y)$ if $0 \leq y \leq x \leq 1$
Find the density of random variable $X+Y$ for $f(x,y) = 6(x-y)$ if $0 \leq y \leq x \leq 1$.
I am able to use method of transformation to convert $f(x,y) = 6(x-y)$ if $0 \leq y \leq x \leq 1$, and ...
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Help with change of variables for evaluating $\iint_S (x^2-y^2)e^{(x+y)^2} \,dx\,dy$
I have $$\iint_S (x^2-y^2)e^{(x+y)^2}\,dx\,dy $$ with restrictions $x+y\leq3$, $ xy\geq2$ and $y\leq x$
I think that with the variable changes $$u=x+y$$ and $$v=x-y$$
whose Jacobian is $2$
then I ...
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