pi -- 3 / | | / pi\ | cos|x - --| dx | \ 3 / | / 0
Integral(cos(x - pi/3), (x, 0, pi/3))
Let .
Then let and substitute :
The integral of cosine is sine:
Now substitute back in:
Now simplify:
Add the constant of integration:
The answer is:
/ | | / pi\ / pi\ | cos|x - --| dx = C + sin|x - --| | \ 3 / \ 3 / | /
___ \/ 3 ----- 2
=
___ \/ 3 ----- 2
sqrt(3)/2
Use the examples entering the upper and lower limits of integration.