How do you integrate #int 3 * (csc(t))^2/cot(t) dt#?
First, note that because
Now - and this is the most important part - notice that the derivative of
We can convert the positive
And apply the substitution:
We know that
And that's all.
As we can find in a table of integrals
(for instance Table of integrals containing Csc (ax) in SOS Math ):
we get this result