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  1. AP Calculus
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Define definite integral.

The definite integral represents the area between a curve and the x-axis over a specified interval.

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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.

Graph of f(y)>g(y)f(y) > g(y)f(y)>g(y)?

The area between the curves is found by integrating f(y)−g(y)f(y) - g(y)f(y)−g(y) over the interval where f(y)f(y)f(y) is above g(y)g(y)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.

Formula for area between curves (y)?

A=∫cd∣f(y)−g(y)∣,dyA = \int_{c}^{d} |f(y) - g(y)| , dyA=∫cd​∣f(y)−g(y)∣,dy

How to find intersection points?

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