Question

Find the area between y=4sin(x) and y=4cos(x) over the interval [0, π]

Answer 1

cos graph starts above sin graph, then ends below sin graph
find point of intersection x*

\[A = 4\int\limits_0^{x*} \cos x - \sin x dx + 4 \int\limits_{x*}^\pi \sin x - \cos x dx\]

Answer 2

http://www.wolframalpha.com/input/?i=plot+%28sin+x%2C+cos+x%29+from+x+%3D0+to+pi