# Finding Value of C to Maximize Area

$f(x)=xe^{-\sqrt x}$

Find the value of $c$, such that the area bounded between the graph, the $x$-axis, $x=c$, and $x=c+1$ is maximized. Find the maximum area.

I don't know where to start with this one. I need help finding the maximum area.

• Do you know how to integrate your function? If so, then integrate with bounds c to c+1. You will have a function of c. Derive it and find maximum. Good luck! – Galc127 Feb 12 '16 at 5:36
• Yes I can find an integral. I suppose c, c+1 represent some number. That is why they are bounds. Thanks – User 210 Feb 12 '16 at 5:42