Let $\displaystyle F(x) = \int_{3}^x \frac{6}{ \ln( t) } \, dt$, for $x\geq {3}$.

A. $F'(x) =$

B. On what interval or intervals is $F$ increasing?
$x \in$
(Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10), or enter none for no intervals.)

C. On what interval or intervals is the graph of $F$ concave up?
$x\in$
(Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10), or enter none for no intervals.)

Use your answers above and your knowledge of derivatives and antiderivatives to sketch a graph of $F(x)$.