For , let and define the accumulation function . Determine the value(s) of in where…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

For

0\le t\le2\pi

, let

f(t)=\sin t-0.5

and define the accumulation function

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

. Determine the value(s) of

x

[0,2\pi]

where

F

attains its absolute maximum.