Improper.mws Type 1. Integrals over infinite intervals e.g. Evaluate Int(1/(x^2),x = 1 .. infinity); . Definitions e.g.s Int(1/x,x = -infinity .. -1); Int(x*exp(1)^(-x^2),x = -infinity .. infinity); Determine p so that Int(1/(x^p),x = 1 .. infinity); is convergent. Show that Gabriel's Horn can be filled with paint but not painted! Type 2. Integrals with discontinuous integrands. e.g. Find Int(1/((x-1)^(1/3)),x = 1 .. 2); Definitions: e.g.s