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