Solving Divergent Integral: -infinity Correct?

[n.a.s.h]

Homework Statement

I had to solve the integral...After all my work i got -infinity
3
integral sign 1/ [(t-3)^4/3]
1

Homework Equations

The Attempt at a Solution

-infinity...is this correct? and would this be divergent?

 

[Dickfore]

The expression

$$\frac{1}{(t - 3)^{4/3}}$$

is complex for $t < 3$.

 

[mathstew]

Yes, it is divergent.

 

[LeonhardEuler]

It has a real root for t<3, so that's not a problem. I would check how you got the sign on that -$\infty$, though.