Examples 7.1.13(b):
According to part 2 of the previous result we know thatf(x) dx = f(x) dx + f(x) dxfor a < c < b. Let a = -1, c = 1, and b = 2. Then we have:
f(x) dx = x2 dx = 1/3 (13 - (-1)3) = 2/3and
f(x) dx = 3 dx = 3 (2 - 1) = 3Therefore
f(x) dx = 2/3 + 3 = 11/3Here we computed x2 dx similarly than in a previous example.