$A = \int_{c}^{d} |f(y) - g(y)| , dy$

Set the two functions equal to each other and solve for $y$.

1. Find intersection points: $y = y^2$ => $y = 0, 1$. 2. Set up integral: $\int_{0}^{1} (y - y^2) , dy$. 3. Evaluate: $[frac{1}{2}y^2 - frac{1}{3}y^3]_0^1 = frac{1}{6}$.

1. Graph functions. 2. Find intersection points. 3. Set up integral: $\int_{0}^{1.73} (2y - y^3 - (-y)) , dy$. 4. Evaluate using calculator: Area ≈ 2.25.

Area is found by integrating the absolute difference between two functions with respect to $y$, from $c$ to $d$ on the y-axis.

To ensure that the area is always positive, regardless of which function is greater.

They allow us to integrate with respect to $y$, summing up the areas of infinitesimally thin rectangles to find the total area.

The limits of integration define the interval over which the area between the curves is calculated.

A calculator can evaluate definite integrals, find intersection points, and graph functions to visualize the area.