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What is integration in mathematics?

Updated: 10/17/2024
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13y ago

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Opposite of differentiation. Given the rate of change of something (for example, speed [which is rate of change of position] ) which might vary according to some formula, then integration is a way of calculating the total distance after a specified interval.

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Two related meanings (although at first sight they seem unrelated):

1. The opposite, or invers, of a derivative; also known as the antiderivative. For example, since the derivative of x2 is 2x, the integral (more precisely, AN integral) of 2x is x2.

2. The area under a curve. If an antiderivative for a curve can be found, it is fairly easy to calculate this area.

Integrals have numerous applications in math and science.

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