Find the area bounded by the curves `y=x^(3)-x and y=x^(2)+x.`
Text Solution
AI Generated Solution
To find the area bounded by the curves \( y = x^3 - x \) and \( y = x^2 + x \), we will follow these steps:
### Step 1: Find the Points of Intersection
To find the area between the two curves, we first need to determine where they intersect. We set the equations equal to each other:
\[
x^3 - x = x^2 + x
\]
...