Integration of uⁿ*du: Reciprocal of a radical, constant needed:

First we need to convert the radical in the denominator to a power 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 now use the Scalar Multiple rule for integrals to get

Now 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: