7
Improper Integrals
7.1 IMPROPER INTEGRALS
The definite integral 
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 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: 
are improper integrals.
7.1.1 Kinds of Improper ...
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