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What would be a good method, for a novice in integration, to solve this integral. I haven't done much integration, so this looks quite daunting. Would this be solvable with trig substitution by itself or would I need to employ partial fractions?

[itex]\int{\frac{-2x+20}{2\sqrt{-x^2+20x}}}dx[/itex]

If I complete the square in the denominator, I wonder if I could make it easier.

[itex]\int{\frac{-2x+20}{2\sqrt{-(x-10)^2-10}}}dx[/itex]

What would be a logical method?

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# How to [itex]\int{\frac{-2x+20}{2\sqrt{-x^2+20x}}}dx[/itex]

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