Find the area bounded by {y=x2−4

Question

y=4−x2

• sketch the region described

• determine any intersection point(s) for the curves (show work!!)

• write out the integral(s) that will calculate the area

• determine the area (may use a calculator)

Answer 1

the parabolas intersect at x = -2,2
area is thus

∫[-2,2] (4-x^2) - (x^2-4) dx = 64/3