1 / | | 1 | 1*-------------- dx | 5 - 4*cos(2*x) | / 0
Integral(1/(5 - 4*cos(2*x)), (x, 0, 1))
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:
Now simplify:
Add the constant of integration:
The answer is:
/ pi\ |x - --| / | 2 | | pi*floor|------| | 1 atan(3*tan(x)) \ pi / | 1*-------------- dx = C + -------------- + ---------------- | 5 - 4*cos(2*x) 3 3 | /
atan(3*tan(1)) -------------- 3
=
atan(3*tan(1)) -------------- 3
Use the examples entering the upper and lower limits of integration.