How to get the answer to $\int \frac{dx}{\sqrt{2x-5}}$

Question

It looks fairly simple:

$$\int \frac{dx}{\sqrt{2x-5}}$$

The answer is $$\sqrt{2x-5}$$

How is this done?

Answer 1

Make the substitution $$u = 2x-5$$. Then $$du = 2 dx $$.

So after the change of variables, we have $$\frac{1}{2}\int \frac{1}{\sqrt {u}} du$$

You should be able to take it from here.