Chapter 5.6, Problem 56ES

(a) Use a graphing utility to generate the graph of

$f\left(x\right)=\frac{1}{100}\left(x+2\right)\left(x+1\right)\left(x-3\right)\left(x-5\right)$

and use the graph to make a conjecture about the sign of the integral

${\displaystyle {\int }_{-2}^{5}f\left(x\right)dx}$

(b) Check your conjecture by evaluating the integral.