p - 4 / | | 1 | ------------ dx | 1 - cos(6*x) | / p - 6
Integral(1/(1 - cos(6*x)), (x, p/6, p/4))
Rewrite the integrand:
The integral of a constant times a function is the constant times the integral of the function:
Don't know the steps in finding this integral.
But the integral is
So, the result is:
Add the constant of integration:
The answer is:
/ | | 1 1 | ------------ dx = C - ---------- | 1 - cos(6*x) 6*tan(3*x) | /
1 1 - ---------- + -------- /3*p\ /p\ 6*tan|---| 6*tan|-| \ 4 / \2/
=
1 1 - ---------- + -------- /3*p\ /p\ 6*tan|---| 6*tan|-| \ 4 / \2/
-1/(6*tan(3*p/4)) + 1/(6*tan(p/2))
Use the examples entering the upper and lower limits of integration.