Let for a continuous function

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

Problem

Let

g(x)=\int_{2}^{x} f(t)\,dt

for a continuous function

f

. Which of the following expressions is equal to

g(8)-g(5)

? (a)

\displaystyle \int_{2}^{8} f(t)\,dt

(b)

\displaystyle \int_{5}^{8} f(t)\,dt

(c)

\displaystyle \int_{2}^{5} f(t)\,dt

(d)

\displaystyle \int_{8}^{5} f(t)\,dt