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Evaluate the integerals. int sqrt((5...

Evaluate the integerals.
`int sqrt((5-x)/(x-2))dx on (2,5)`

A

`sqrt(7x-x^(2)-10)-(3)/(2)Sin^(-1)((2x+7)/(3))+c`

B

`sqrt(7x+x^(2)-10)-(3)/(2)Sin^(-1)((2x-7)/(3))+c`

C

`sqrt(7x-x^(2)-10)+(3)/(2)Sin^(-1)((2x-7)/(3))+c`

D

`sqrt(7x-x^(2)-10)+(3)/(2)Sin^(-1)((2x+7)/(3))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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