9: You get

This is a rational function. You should start by decomposing the denominator, which is not easy and leads to quite ugly fractions:

This calculations could be finished, but perhaps you could do it better.

You can avoid the trouble if you notice that the integral can be evaluated by a simple substitution - just take the whole denominator.

Another alternative is to lower the powers in the integral by the substitution y = x². You get

This is almost an elementary integral, apply integration by parts. After the back substitution you get the answer.

Answer