Chapter 16.7, Problem 32E

Double integrals—your choice of transformation Evaluate the following integrals using a change of variables. Sketch the original and new regions of integration, R and S.

32.     ${\displaystyle \underset{R}{\iint }\sqrt{y^2-x^2}dA}$, where R is the diamond bounded by y – x = 0, y – x = 2, y + x = 0, and y + x = 2