AP

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

Problem

Let

F(x)=\displaystyle \int_{1}^{x}(t^{3}-2t+1)\,dt

. (i) Find

F'(x)

. (ii) Evaluate

F'(2)

. (iii) Using the value of

F'(1)

, obtain the equation of the tangent to the curve

y=F(x)

at the point where

x=1