How to resolve?:

where is a vector and a n*n matrix. The integral should be calculated over ..

In analogy with the 1dimensional case, I supposed to consider the argument as a sort of , and resolve the integral by parts , dividing the last term and trying to obtain the derivate of the term .

But I am not shure how to proceed in the multidimensional domain. Is my thought valid? Someone can help me?

Thanks

Pollo