Are you taking the square root of everything or just the last term (x-7)? If it's just the last term, then your answer is:
Quote:
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(2/5) * (x-7)^(3/2) * (x+8)
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If it's the square root of everything in the integral, your answer is really big and complicated and I doubt they'd be giving you that.
http://integrals.wolfram.com/ <-- Excellent website.
Edit: To the best of my knowledge, you only use the "u substition method" (which, if memory serves, gives you Integral[ u dv ] = uv - Integral[ v du ] ) if you've got a term such as e^x or sin/cos values that do not naturally recycle themselves down to 0 under differentiation.