Find the area bounded by the parabolas

[duki]

Homework Statement

find the area bounded by the parabolas $$y=2x^2-x-15$$ and $$y=x^2-4x-5$$

Homework Equations

The Attempt at a Solution

$$x^2+3x-10=0$$
I got x = 2 and x = -5; is that right?
If so, why do I keep getting an area of 76.17 when I integrate from -5 to 2? I end up with $$(2.67+6-20)-(41.67+37.5+50)$$

 

[vociferous]

Graph the equations and then consider calculating the area by integrating them in three parts and adding up the absolute values of the area.