1. ## integration

I need some help integrating:

$\int^{18}_{0} \sqrt{\frac{1}{t}+1+\frac{9t}{2}}$.

2. I think you forgot to put dt.

$\int^{18}_{0} \sqrt{\frac{1}{t}+1+\frac{9t}{2}}~dt$

Well, this integral seems messy to me. Do you need the exact solution? I'd try approximations instead of finding the exact solution.

3. Yes I do need the exact solution. I was thinking of using integration by parts, but I didn't really get anywhere.

4. would it be:

$\int \sqrt{\frac{1}{t}+1+\frac{9t}{2}}$ = $t \sqrt{\frac{1}{t} +1 + \frac{9t}{2}} - \frac{1}{2} \left( \frac{1}{t} + 1 + \frac{9t}{2} \right) ^{- \frac{1}{2}} \times \left( \frac{1}{t} + \frac{9t}{2} \right)$