- #1

- 310

- 54

- Homework Statement
- integral of int y^2 dxdy over a region (look to the formula inside the exercice)

- Relevant Equations
- y=rcos(theta)

calculate the double integral

over the region of integration is

x^2 + y^2 ≤ 4; x^2 + (y/4)^2 ≥ 1

the integrals have been made over two regions

my problem is that when I go to the polar coordinate for the ellipsis and use the jacobian i got

Any help?

many thanks in advance!

over the region of integration is

x^2 + y^2 ≤ 4; x^2 + (y/4)^2 ≥ 1

the integrals have been made over two regions

my problem is that when I go to the polar coordinate for the ellipsis and use the jacobian i got

**2 instead of 8 ( the following is the professor solution)**Any help?

many thanks in advance!