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Engineering Mathematics by C. Vijayakumari, P. Sivaramakrishna Das

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7

Improper Integrals

7.1 IMPROPER INTEGRALS

The definite integral images is defined as the limit of a sum under two conditions (i) the interval [a, b] is of finite length and (ii) f is defined and bounded on [a, b]. Then images is called a proper integral.

But there are many practical problems where f is unbounded on [a, b] or the interval is not finite. Such integrals are known as improper integrals.

For example: images are improper integrals.

7.1.1 Kinds of Improper ...

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