So I would like to calculate the double integral
$\quad \iint_G dxdy $ where $ G =\frac{x^2}{a^2} +\frac{y^2}{b^2}\leq 1$
I got told to carry out te substitution $u =\frac{x}{a}$ and $ v =\frac{y}{b}$ and to reduce the problem to the problem of computing the area of a circle. But unfortunately, I still can not solve this problem.
Many thanks if you can help me out!