Draw a typical approximating rectangle and label its height and width. Then find the area of the region.

Question

Sketch the region enclosed by the given curves.  Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region.

y = x + 1,   y = 9 - x^2,    x  = -1,      x = 2