Can $I_n = \int_{-1}^1 \sqrt{t^2-t^4} P_1^0(t) P_n^0(t) dt$ be evaluated analytically where $P_n^m$ are the associated Legendre polynomials?

Question

I have arrived at the following integral. I would like to know if it is possible integrate it analytically as if not I will have to numerically integrate it: $$ I_n = \int_{-1}^1 \sqrt{t^2-t^4} P_1^0(t) P_n^0(t) dt, $$ where $P_n^m$ are the associated Legendre polynomials.