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**1. The problem statement, all variables and given/known data**

Find [tex]\int \frac{x^{2}+3x+7}{\sqrt{x}}dx[/tex]

**2. Relevant equations**

**3. 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 [tex]\int f(g(x))g'(x)dx=F(g(x))+C[/tex] 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!