How do you show whether the improper integral #int (x^2)/(9+x^6) dx# converges or diverges from negative infinity to infinity?
1 Answer
Sep 27, 2015
Refer to explanation
Explanation:
Let's calculate the indefinite integral hence we have
Hence the definite is
where
The arctan function is the inverse function of
and since this function is monotonically increasing then
So we have that
Hence the integral converges.