Suppose I have an integral of the form
$$\iint f(x)g(y)dxdy$$
Can I make a substitution for x and y such that they both depend on the same parameter eg.
$x=h(t), y=h’(t)$?
2026-03-24 22:06:56.1774390016
Substitution in double integral
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This is not a genuine double integral, since it factorizes into: $$ \int f(x)dx\int g(y)dy $$ Now you can make a substitution with the same function or different functions for both $x$ and $y$, however don't be trapped into giving the new variable the same name $t$ in both cases - you are not allowed to do that, the integration variables still remain different.