The process is precisely analogous to that employed in the last case

The preceding integral may be found in a manner somewhat different

Which are known forms, and may be found by the method of parts.

And similarly all integrals belonging to this class may be found

These integrals may in general be found more conveniently by multiplying both numerator and denominator by the irrational part.

The first is known, the second may be found as follows.

We have thus found all the integrals included under the general forms

The principles are exactly the same as in the more simple cases, and therefore a very few examples will suffice.

The next class of integrals which we shall consider is comprised under the general forms

1.

x±TM dx (x2± 2ax)±✯