1 / | | 1 | ------------ dx | 5 - 3*cos(x) | / 0
Integral(1/(5 - 3*cos(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:
/x pi\ |- - --| / / /x\\ |2 2 | | atan|2*tan|-|| pi*floor|------| | 1 \ \2// \ pi / | ------------ dx = C + -------------- + ---------------- | 5 - 3*cos(x) 2 2 | /
atan(2*tan(1/2)) ---------------- 2
=
atan(2*tan(1/2)) ---------------- 2
atan(2*tan(1/2))/2
Use the examples entering the upper and lower limits of integration.