Integration of uⁿ*du: Reciprocal of (radical times a radical to a power), constant needed:

.

First we need to convert the radicals to a powers in the numerator:

This looks like a quantity raised to a power times the derivative of the quantity.

Let's try the General Power rule for integrals:
Let , .

Now the integral becomes

We can use the General Power rule for integrals to get

Finally we substitute for u (as we defined it above) to get an answer in terms of x: