pi -- 3 / | | 0.5*sin(x)*cos(x) dx | / pi -- 6
Integral((0.5*sin(x))*cos(x), (x, pi/6, pi/3))
There are multiple ways to do this integral.
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:
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 | 0.5*sin(x)*cos(x) dx = C + 0.25*sin (x) | /
Use the examples entering the upper and lower limits of integration.