Question

Evaluate the integral by reversing the order of integration:
1 1
∫ ∫ (x^(3))(sin(y^3))dydx
0 x^2
Please explain step by step

Answer 1

change dydx to dxdy for starters; then shift the S parts to match the direction your measureing towards

Answer 2

this is the directions we have to begin with;

x from 0 to 1

y from x^2 to 1

Answer 3

by switching the integration we switch the order in which we measure things;