Exercise 2 Solution

(You may want to maximize your window to see the solution more clearly.)

Finding the intersections,

Check (by test cases or by looking at the graph) that g(x) > f(x) on (−2, 0) and that f(x) > g(x) on (0, 2), thus,

 

Note how the integrands relate to the solution for the intersections (a good way to check your work). As before, find the antiderivative and evaluate,