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Endpoints of Integration

Definition

The endpoints of integration are the values that determine the limits of integration in a definite integral. They represent the starting and ending points on the x-axis for which we want to find the area under a curve.

Analogy

Think of the endpoints of integration as the boundaries of a race track. Just like how runners start at one point and finish at another, when we integrate, we start at one endpoint and end at another to calculate the total area.

Related terms

Definite Integral: A definite integral is an operation that calculates the exact area between a function and the x-axis within specific limits.

Upper Limit: The upper limit is the value that represents where integration ends or stops.

Lower Limit: The lower limit is the value that represents where integration starts or begins.

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.