Divide throughout by (1 – x²)

Compare with

we get and

The IF integrating factor is given by e^∫Pdx

Substitute 1 – x² = t hence

which means

Hence

⇒ e^∫Pdx = e^log√t

⇒ e^∫Pdx = √t

Resubstitute t

Hence the IF integrating factor is