Set up ( and do not evaluate) the internals for a.) net area b.) area ( based on the following)

Certainly! Let's set up the internals for both the net area and the area, based on a hypothetical problem. Assume we have a function \( f(x) \) and we are interested in finding the areas under the curve within a certain interval. Here are the setups:

### a) Net Area

The net area accounts for the areas above and below the x-axis, considering the signs of the function values. This means positive contributions from the area where \( f(x) \) is above the x-axis and negative contributions where \( f(x) \) is below the x-axis.

1. **Define the function and interval:**
   Let \( f(x) \) be a continuous function on the interval \([a, b]\).

2. **Set up the integral for net area:**
   \[
   \text{Net Area} = \int_{a}^{

Learn how to set up internals for net area and area calculations in calculus. This problem involves defining functions and intervals, and setting up integrals for finding the net area and total area under a curve. Suitable for advanced high school students and first-year college calculus students.

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