Question

How do I evaluate `int(13 x^2 + 12 x^-2)dx`?

Answer 1

I would use the integral of a sum

`intf(x)+g(x)dx=intf(x)dx+intg(x)dx`

to divide the argument of the igral giving:

`int13x^2dx+int12x^-2dx=`

and integrating:

`(13x^(2+1))/(2+1)+(12x^(-2+1))/(-2+1)=13/3x^3-12/x+c`