# Concavity of an integral function

Hi guys,
I am new in this forum and really hope that somebody can help me.
I would like to show that the following function in concave of convex so I need to calculate the second derivative of Q(t) :

Q(t)=Integral[upper=T; Lower=0]{tF(t)q(p-st)}dt

HallsofIvy
If $$Q(t)= \int_0^t (\tauF(\tau)q(p-s\tau))d\tau$$
$$\frac{dQ}{dt}= tF(t)q(p-st)$$