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| PAGE: 576 | SET: Exercises | PROBLEM: 66 |
The perceived star density is 
.
The actual density of stars in a cluster is 
.
Find the perceived density 
.
Substitute 
in 
.
Solve the integral by using parts of integration method.
Formula for integration by parts :
.
and 
.
Consider 
.
Apply derivative on each side with respect to 
.
.
Consider 
.
Apply integral on each side.
Let 
.
.
Substitute 
and 
in 
.
Substitute .
.
Substitute the corresponding values in .
Apply formula: 
.
Apply formula : 
.
The perceived density 
.
The perceived density 
.
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