1 / | | /x\ | cos|-| dx | \4/ | / 0
Integral(cos(x/4), (x, 0, 1))
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:
Now simplify:
Add the constant of integration:
The answer is:
/ | | /x\ /x\ | cos|-| dx = C + 4*sin|-| | \4/ \4/ | /
4*sin(1/4)
=
4*sin(1/4)
4*sin(1/4)
Use the examples entering the upper and lower limits of integration.