Question

sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.
y = 2x + 1, y = 13 − x^2, x = −1, x = 2

Answer 1

since y is a function of x in both cases, it will be easier to integrate along x.

∫[-1,2] (13-x^2) - (2x+1) dx

integrating along y would require breaking the area into two parts.