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C3 - Differentiation

[SOLVED]

I don't know how to begin solving the second part of the following question:

i. Given that

y = (x + 1)\sqrt{2x - 1}

show that

\frac{dy}{dx}

can be written in the form:

\displaystyle \frac{kx}{\sqrt{2x - 1}}

and state the value of k.

(This part is fine and I got k = 3)

ii. Hence evaluate

\displaystyle \int_1^5\frac{x}{\sqrt{2x - 1}}\ dx

I do not know how to begin this part. This question is from a differentiation section of the textbook I'm using and so far I have learned only the chain and product rules and do not know how to integrate this so I assume that I am expected to solve this from the first part of the question. If someone could point me in the right direction I would appreciate it.