Find the shaded areas,

I have attached the diagram, is this right set up for the area under the curve?

Also for the bit above the axis, the triangular bit, how would I work out this area? I dont know the equation of this line. Is it y = 4?

$\displaystyle \int^3_{-1} 0-x^{2} -2x -3\ dx $ this is the x-axis minus the curve.

Thank you!

Edit- just to clarify, the curve crosses the x-axis at -1 and 3, although on my diagram it looks like it doesn't