Directions: Write out a clear, complete, correct solution to the problem below, following the criteria set out in the Guidelines for Written Homework. Your solution is due at the beginning of class on Wednesday, August $27.$ Problem: Find the area of the region bounded in the $\backslash ($ x y $\backslash )-$plane by the graphs of $\backslash [$ y$=$x$^\{2\}+3$ x$-5\backslash$quad $\backslash$text $\{$ and $\}\backslash$quad y$=-$x$^\{2\}+$x$+7\backslash ]$ A complete solution must include, in addition to the answer: $-$ a sketch of the region in question; $-$ an explanation of how you found the bounds for the integral; $-$ an explanation of how you know which is the "top" function and which is the "bottom" function $($this could be informal and could just refer to a properly$-$drawn figure$)$; $-$ an integral setup in proper mathematical notation.