1 / | | /x\ | cos|-| | \2/ | ------ dx | 2 | / 0
Integral(cos(x/2)/2, (x, 0, 1))
The integral of a constant times a function is the constant times the integral of the function:
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 cosine is sine:
So, the result is:
Now substitute back in:
So, the result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | | /x\ | cos|-| | \2/ /x\ | ------ dx = C + sin|-| | 2 \2/ | /
sin(1/2)
=
sin(1/2)
Use the examples entering the upper and lower limits of integration.