First, you forgot dx....
Second, I don't think that there is analytic function for your integral...
My battle with calculus is forever ongoing, although I feel I've made lots of progress recently. However I am a bit unsure on how to go about the following:
I am aware that:
but am still stumped.
Any pointers would be greatly appreciated.
In other words, don't be upset that you could not integrate it. If it were then you could use the substitution [itex]u= 3 cos(\theta)[/itex] but as the integral is it cannot be integrated in terms of elementary functions- you must use the "elliptic integral of the second kind" which, itself, must be evaluated numerically.
Would the same be true of:
I have the above as a denominator of a function and am using a separation of variables to find an implict solution.
So I have on one side of the equation because I multiplied through by it. So if I can't integrate it, what do I do?