Integral involving a power of the Arcsec: Find.

Since a power of the Arcsec is present in the integrand, we may be able to apply the Power Rule for Integration. To check this, we substitute w for the Arcsec:

Let . Using the Derivative of the Arcsec, we get

.

Solving for the combination present in the original problem,

we get .

Now we substitute these results into the original equation:

. Next apply the Power Rule of Integration:

. Finally, we convert back to a function of x by replacing w: