Question

Suppose that f and g are continuous and that (3to7)∫ f(x)dx=-4 and (3to7)∫g(x)dx=8. Find (7to3)∫ [g(x)-f(x)]dx.

NOTE: (by 3 to 7 I mean that the 3 is on the bottom and 7is up, or above the integral)

Answer 1

think of the integral like area under the curve. So integral of (3to7)∫g(x)dx=8 is the are shown in the picture below.