5/2 / | | 2 | cos(x)*sin (x) dx | / 0
Integral(cos(x)*sin(x)^2, (x, 0, 5/2))
Let .
Then let and substitute :
The integral of is when :
Now substitute back in:
Add the constant of integration:
The answer is:
/ | 3 | 2 sin (x) | cos(x)*sin (x) dx = C + ------- | 3 /
3 sin (5/2) --------- 3
=
3 sin (5/2) --------- 3
sin(5/2)^3/3
Use the examples entering the upper and lower limits of integration.