Hi,

I have the following inequality

$\displaystyle \int_0^t \! \, F(\tau) d\tau \leq M$

where $\displaystyle F(\tau)>0$ is a continuous differentiable function and $\displaystyle M$ is a constant.

My question, what is the upper bound for

$\displaystyle \int_0^t \! \, F^n(\tau) d\tau \leq ?$

where $\displaystyle n$ is positive integer larger then 2.