Sketch the region between the graphs of the functions and compute the area of this region:
y = 9 - x^2, y = x^2 - 4
First we find the points of intersection of the two curves.
9 - x^2 = x^2 - 4
2x^2 = 13
x = sqrt(13/2) = ...
A Complete, Neat and Step-by-step Solution is provided. The region between the graphs is shown shaded in the attached file.