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int (1)/(6x-7-x^(2))dx=...

`int (1)/(6x-7-x^(2))dx=`

A

`(1)/(sqrt(2))log|(sqrt(2)+x-3)/(sqrt(2)-x+3)|+c`

B

`(1)/(2sqrt(2))log|(sqrt(2)+x+3)/(sqrt(2)-x+3)|+c`

C

`(1)/(2sqrt(2))log|(sqrt(2)+x-3)/(sqrt(2)-x+3)|+c`

D

`(1)/(sqrt(2))log|(sqrt(2)+x+3)/(sqrt(2)-x+3)|+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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