Calculus 8E
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33
| PAGE: 575 | SET: Exercises | PROBLEM: 33 |
Please look in your text book for this problem Statement
The integral is 
.
Definition of an improper integral :
If 
exists for every number 
, then 
provoded this limit exists (as a finite number).
The function intervals is undefined 
, so the function is countinous on 
.
Consider 
.
Power rule of integral :
.
Therefore, 
.
Since 
(finite value), the integral is convergent.
The integral is convergent and the value is 
.
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