1 / | | /x\ | cos|-| dx | \5/ | / 2
Integral(cos(x/5), (x, 2, 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 + 5*sin|-| | \5/ \5/ | /
-5*sin(2/5) + 5*sin(1/5)
=
-5*sin(2/5) + 5*sin(1/5)
-5*sin(2/5) + 5*sin(1/5)
Use the examples entering the upper and lower limits of integration.