On the interval a continuous function satisfies and

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

Problem

On the interval

[2,7]

a continuous function

f

satisfies

f(x)\ge 0

and

\displaystyle\int_{2}^{7} f(x)\,dx = 8

. What is the value of

\displaystyle\int_{2}^{7} \bigl(3f(x)+4\bigr)\,dx

? (a) 60 (b) 44 (c) 28 (d) 56