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Definite Integration

Let Description: 83667.png where f (x) is the integral of F(x).


As x changes from a to b, the value of the integral changes from f (a) to f (b). This can be shown as

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Here, ‘b’ is called the upper limit and ‘a’ is called the lower limit of integration.


When integration is done within a defined limit, it is known as definite integration. In definite integration, we get a finite fixed value in the end, so there is no need to add the constant of integration.

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Properties of Definite Integrals

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  • Description: 83829.png if f (x) is an odd function

Note: A function f (x) is said to be an even function if f (–x) = f (x). A function f (x) is said to be an odd function if f(–x) = – f (x).


For example: f (x) = x2 is an even function since (–x)2 = (x)2.

f (x) = x3 is an odd function since (–x)3 = –x3.

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