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

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First we need to convert the radical to a power in the numerator:

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

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: