A function is defined by for all real

MATHEMATICS · Multi-part · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

A function

f

is defined by

f(x)=3x^{2}-2

for all real

x

. Let

F

be an antiderivative of

f

such that

F(1)=0

. (a) Find an explicit formula for

F(x)

given

F(1)=0

. (b) Determine the exact value of

F(4)

. Show all work leading to your answer.