pi -- 6 / | | 2*cos(2*x) dx | / 0
Integral(2*cos(2*x), (x, 0, pi/6))
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:
___ \/ 3 ----- 2
=
___ \/ 3 ----- 2
Use the examples entering the upper and lower limits of integration.