Let be an integrable function such that and

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

f

be an integrable function such that

\displaystyle \int_{0}^{4} f(x)\,dx = 5

and

\displaystyle \int_{0}^{7} f(x)\,dx = 14

. Calculate

\displaystyle \int_{4}^{7} f(x)\,dx

. (a)

19

(b)

6

(c)

9

(d)

-9