Question 972419
First find the limits of integration.
From the graph, it looks like the limits are {{{x=-9}}} and {{{x=-2}}}.
.
.
.
*[illustration d4d.JPG].
.
.
.
{{{int((-x^2-11x-18),dx)=-x^3/3-(11/2)x^2-18x+C}}}
So then,
{{{A=-((-2)^3-(-9)^3)/3-(11/2)((-2)^2-(-9)^2)-18(-2-(-9))}}}
{{{A=-(-8+729)/3-(11/2)(4-81)-18(7)}}}
{{{A=-721/3-(11/2)(-77)-126}}}
{{{A=-721/3+847/2-126}}}
{{{A=-1442/6+2541/6-756/6}}}
{{{A=343/6}}}