If you plot the curves, as at
http://www.wolframalpha.com/input/?i=plot+y%3Dx^3%2C+y+%3D+x%2B6%2C+y+%3D+-1%2F2+x
it is clear that the area is
∫[-4,0] (x+6)-(-x/2) dx + ∫[0,2] (x+6)-x^3 dx
= 12 + 10
= 22
Find the area of the shaded region.
the following curves are;
y=x^3
y=x+6
y=-1/2x
1 answer