Question

How do you evaluate the definite integral `int(2x^2-x)/x^3` from `[1,e]`?

Answer 1

`= 1 + 1/e`

Explanation:

`int_1^e(2x^2-x)/x^3 dx`

`=int_1^e 2/x-1/x^2 dx`

`=[2ln |x| + 1/x ]_1^e`

`=(2 + 1/e ) - (0+1 )`

`= 1 + 1/e`