MAT136H1 Lecture Notes - Improper Integral

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7.8 Integration Techniques
Improper Integrals
Question #1 (Easy): Improper Integrals With Infinite Interval
Strategy
There are two types of improper integrals: Type 1 is integrals with infinite interval, such as 
 ,

, or 
 .
Type 2 is integrals whose interval is not infinite but fixed at  , but has point(s) of discontinuity
within the interval, such as vertical asymptotes.
Sample Question
Explain why the given integral is improper.


Solution
The integral shows that the interval is  . Since the interval is infinite, the integral is an improper
integral of Type 1.
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