Question 1. Use a change of variables to compute the integral /I. rydxdy, x3, y = 2x3, x = y³ and where R is the region in the first quarter bounded by the curves y = x = 2y3.

We have to compute the double integral $\iint xydydx$ over the region R which is

bounded by the curves $y=x^3, y=2x^3, x=y^3$ and $x=2y^3$.

We have to use the change of variables method to compute the given double

integral over the region T bounded by the new equations.