1. The problem statement, all variables and given/known data let f(x,t)=xe^(-xt).show that the integral I(x)=∫f(x,t)dt (integration from 0 to infinite)exists for all x>=0 . is x->I(x) continuous on [0,infinite) 3. The attempt at a solution what should i use here to prove the integral exist ???once i prove that exist, can i use the specific integration to see its continuity?????