Let f(x)=k/(x^3+x) if x>=1,
and f(x)=0 otherwise
where k is const.
(a) For what value of k is f a probability density function?
(b) Find the mean of this density function.
I'm having a hard time finding my limits of integration, I think it's 1 to infinity. But if that's the case I end up with: k[ln(x) - (1/2)ln(x^2+1)] from 1 to infinity
which looks like k(infinity - infinity) - k[0-(1/2)ln(2)] and... i'm lost.

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