Achieve Homework 15.4

Author:
Jila
  1. Divide the region into a tringle and a circular sector as shown.
  2. Compute by using an arc-trig function in the triangle.
  3. Compute as a complement of .
  4. Compute the double integral on the pink region using polar transformation.
  5. Use double integral in xy for the green region noting that one of the bounds of the inner integral is non-constant.
  6. Add the result of the two integrals.