Consider two antiderivatives of : and

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

Problem

Consider two antiderivatives of

\dfrac{dy}{dx}=\cos x

F(x)=\displaystyle\int_{0}^{x}\cos t\,dt

and

G(x)=2+\displaystyle\int_{\pi/2}^{x}\cos t\,dt

. Which constant should be added to

F(x)

so that it represents the same function as

G(x)

for all

x

? (a) Add 2 to

F(x)

. (b) Add 1 to

F(x)

. (c) Make no change to

F(x)

. (d) Subtract 1 from

F(x)