Mastering Antiderivatives: Solving Challenging Problems with U-Substitution

[dontdisturbmycircles]

Homework Statement

Find $$\int \frac{x^{2}+3x+7}{\sqrt{x}}dx$$

Homework Equations

The Attempt at a Solution

I am reviewing for a test on tuesday. I can't see a good algebraic method to solve this using the fact that $$\int f(g(x))g'(x)dx=F(g(x))+C$$ so I am starting to think it requires a u-substitution which I am trying to get better at right now before the test. Can someone point me in the right direction here? Thankyou very much, I appreciate any help!

 

[dontdisturbmycircles]

Duh nevermind, I can just divide out the terms... *Sigh* I always spend lots of time on a problem, post it here, and then 3 minutes later I figure it out... Grr, sorry!