$\int \sqrt{5 + 4x - x^2}dx$
I am pretty certain what I need to do to this problem is complete the square and turn it into a trig subsitution but I have no idea how to complete the square with a $-x^2$ or really with this problem at all, I just can't make it work.
I tried to see if I could make the problem be the same in any way by just pulling out a negative but that didn't seem to work.
I got the problem up to
$\int \sqrt{ -1(x-2)^2 - 1}dx$
But I do not think that does me any good. What I think I need to do is have a difference of squares with a square in it or something, I just have to get rid of the 4x term somehow.