Chapter 6.1, Problem 3PT

A definite integral for the area of the region bounded by y = 2 − x² and y = x² is:

1. a) ${\displaystyle {\int }_{-1}^1(2-2x^2)dx}$
2. b) ${\displaystyle {\int }_{-1}^1(2x^2-2)dx}$
3. c) ${\displaystyle {\int }_0^2(2-2x^2)dx}$
4. d) ${\displaystyle {\int }_0^2(2x^2-2)dx}$