Achieve Homework 15.4
- Divide the region into a tringle and a circular sector as shown.
- Compute by using an arc-trig function in the triangle.
- Compute as a complement of .
- Compute the double integral on the pink region using polar transformation.
- Use double integral in xy for the green region noting that one of the bounds of the inner integral is non-constant.
- Add the result of the two integrals.