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Constraining the Interval of Integration

Definition

Constraining the interval of integration refers to limiting the range over which a definite integral is evaluated. It involves specifying the lower and upper bounds within which the function is integrated.

Analogy

Imagine you are at an all-you-can-eat buffet, but you only have a limited amount of time to eat. Constraining the interval of integration is like setting a timer for yourself, so you can only eat from the buffet for a specific period. You can only consider the food consumed during that time frame.

Related terms

Definite Integral: The definite integral calculates the exact area under a curve between two points on an axis.

Lower Bound: The lower bound represents the starting point or minimum value in an interval.

Upper Bound: The upper bound represents the ending point or maximum value in an interval.

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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.