Region bounded by y=x+x^2, x=-1, x=3-x^2
I.e. y=x(1+x), y=3-x^2, x=-1
The following info may easily be deduced.
y=x(1+x) has two roots (0,0) and (-1,0) and is a concave up parabola
y=3-x^2 is concave down parabola with y-intercept 3.
x=-1 is obviously a vertical line.
Now if you have...