Suppose is continuous and positive on the interval

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Suppose

f

is continuous and positive on the interval

(2,5)

. If

F

satisfies

\dfrac{dF}{dx}=f(x)

and

F(2)=-1

, which of the following must be true? (a)

F(5)=F(2)

(b) No conclusion can be drawn about

F(5)

relative to

F(2)

(c)

F(5)>F(2)

(d)

F(5)<F(2)