Question

How do you find the integral of `int x^(-5/4)dx` from 1 to infinity?

Answer 1

See the explanation section.

Explanation:

`int_1^oo x^(-5/4)dx = lim_(brarroo)int_1^b x^(-5/4)dx`

`=lim_(brarroo) [-4x^(-1/4)]_1^b`

`=lim_(brarroo) [-4/root4x]_1^b`

`=lim_(brarroo) [-4/root4b + 4]`

`= 4`