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