Question

Can someone give me a step by step tutorial on substitutions on multiple integrals and using the Jacobian?

Answer 1

Question: Use the transformation from exercise 1 to evaluate the integral


for the region R in the first quadrant bounded by the lines y=-2x+4 y =-2x+7 y=x-2 and y=x+1

From exercise 1
solve the system u = x-y v = 2x+y for x and y in terms of u and y. Then find the value of the jacobian.