The region bounded by the curve

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

y = \sin x

, the x-axis, and the lines

x = 0

and

x = \pi

is divided into two parts of equal area by the vertical line

x = k

(

0 < k < \pi

). Determine the value of

k