AP

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

Problem

For

0\le x\le2\pi

, let

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

. (i) Find the interval(s) where

F

increases and where it decreases. (ii) List the

x

–values in

(0,2\pi)

at which

F

attains a local maximum or a local minimum.