sorry posted something similar to this before but

How do i integrate this function

$\displaystyle \int_u^v \prod_{i=1}^k X_i^{Y_i} dx $

I think this is clearly a multiple integral as each value of $\displaystyle X_i $ but i am not sure how to actually evaluate this integral. I will need to program this so should i use an approximation method or can i find an analytic solution

Thank for your help