Let be a continuous function such that

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

Problem

Let

f(x)

be a continuous function such that

\int_{m}^{n+1} f(x)\,dx = n^3,\ n \in \mathbb{Z}

. Then, the value of

\int_{-3}^{3} f(x)\,dx

is (1)

9

(2)

-27

(3)

-9

(4)

27