The problem involves finding the area bounded by the vertical line x=-3 and the curves y=-x^2-2x and y=x^2-4. Participants are exploring the setup and calculations related to this area.
The discussion is ongoing, with participants sharing their calculations and expressing confusion over the negative area result. Some guidance is offered regarding careful treatment of signs in the area calculation, and there is an acknowledgment of potential issues with the upper bound or curve designation.
Participants mention that the professor provided a specific setup for the problem, which is causing some uncertainty in their attempts to solve it. There is also a reference to the need to consider areas below the x-axis in their calculations.
First, be careful when you write the equation: I guess you mean (-2)^3, not -2^3, etc.Danny222444 said:Ok, I end up with Area=2(-2^3/3)-2^2-4(-2)-(2(-3^3/3)+(-3)^2-4(-3) and I end with -5/3. I know the area cannot be negative. I have a feeling the upper bound is wrong or -x^2-2x should be the top curve. But my professor set it up exactly like this, and I just can't seem to solve it.