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