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Graph of $f(y) > g(y)$?
The area between the curves is found by integrating $f(y) - g(y)$ over the interval where $f(y)$ is above $g(y)$.
How to use the graph to find intersection points?
Intersection points are where the curves intersect on the graph; these points determine the limits of integration.
Define definite integral.
The definite integral represents the area between a curve and the x-axis over a specified interval.
What is integration with respect to y?
Integration with respect to y involves finding the area between curves by summing horizontal slices along the y-axis.
Define horizontal slices in area calculation.
Horizontal slices are rectangles used to approximate the area between curves when integrating with respect to y.
What are intersection points?
Points where two or more curves meet; used to determine the limits of integration.
Explain area between curves (y).
Area is found by integrating the absolute difference between two functions with respect to $y$, from $c$ to $d$ on the y-axis.
Why use absolute value in the area formula?
To ensure that the area is always positive, regardless of which function is greater.
How do horizontal slices help?
They allow us to integrate with respect to $y$, summing up the areas of infinitesimally thin rectangles to find the total area.
Explain the importance of limits of integration.
The limits of integration define the interval over which the area between the curves is calculated.
How does a calculator help?
A calculator can evaluate definite integrals, find intersection points, and graph functions to visualize the area.