Question

How do you find the integral of 0 to the infinity of `x^(8/3) dx`?

Answer 1

`int_0^oo x^(8/3) dx = lim_(brarroo) int_0^b x^(8/3) dx`

`=lim_(b rarr oo) 3/11 x^(11/3)]_0^b = lim_(brarroo)3/11 b^(11/3)=oo`

The integral diverges.