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Homework Statement
Evaluate the integral of (1/Sqrt(5x-x^2))
Homework Equations
[d/dx]{arcsin(x)}=(du/dx)/sqrt(1-x^2)
The Attempt at a Solution
arcsine(2x-5)/5
I did end up getting the right answer, but have no idea how I got there.
5x-x^{2} = -(x^{2}-5x) = -(x+5/2)^{2}+k. Can you find 'k'?I have tried that, but the 5 is what is throwing me off.