Integration of the reciprocal of a power:

While this is a power, it doesn't match the Power rule of integrals, which requires that the power be in the numerator. We can rewrite this integral with a negative power and then it will match the form of the rule:

We can then use the Scalar Multiple rule of integrals to get

Now we can use the Power rule of integrals to get

Test Problem: Find

a)

b)

c)

d)

e)