Need help with this problem because I keep getting the incorrect answer.

Find the area bounded by:
f(x) = -x^3 = x^2 +16x
g(x) = 4x

Question

Need help with this problem because I keep getting the incorrect answer.

Find the area bounded by:
f(x) = -x^3 = x^2 +16x
g(x) = 4x

anonymous · Answer

Can you draw them out?

anonymous · Answer

There's no graph that comes attached with the equation.

anonymous · Answer

Sure, we have to draw it by ourselves :)

anonymous · Answer

attachment

anonymous · Answer

It makes the step easier, right?

anonymous · Answer

Oh alright!  And yeah it does somewhat.  I'm more used to finding the area of the shaded region but I'm guessing this is similar.

anonymous · Answer

Pay attention, you have to separate it into 2 parts : from -3 to 0  and from 0 to 4
Because at [-3,0] 4x is upper function, and at [0,4] f(x) is upper one, right?

anonymous · Answer

Okay.  I get it so far that I'm going to have $$\int\limits_{-3}^{0}  and \int\limits_{0}^{4}$$ .  

I think that's right.

anonymous · Answer

yes for the limits and the integrands are not the same