Question

How do you evaluate the integral `int 1/x^2 dx` from 1 to `oo` if it converges?

Answer 1

`int_1^oo dx/x^2 = (-1/(2x))|_(x=1)^(x->oo)` `=`

`= lim_(x->oo) (-1/(2x) )+1/2 =1/2`