p - 2 / | | 4*cos(2*x) dx | / p - 4
Integral(4*cos(2*x), (x, p/4, p/2))
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:
Add the constant of integration:
The answer is:
/ | | 4*cos(2*x) dx = C + 2*sin(2*x) | /
/p\ - 2*sin|-| + 2*sin(p) \2/
=
/p\ - 2*sin|-| + 2*sin(p) \2/
-2*sin(p/2) + 2*sin(p)
Use the examples entering the upper and lower limits of integration.