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int (x+4)/(6x-7-x^(2))dx=...

`int (x+4)/(6x-7-x^(2))dx=`

A

`(1)/(2)log|6x-7-x^(2)|-(7)/(2sqrt(2))log|(x+3-sqrt(2))/(x-3+sqrt(2))|+c`

B

`-(1)/(2)log|6x+7+x^(2)|+(7)/(2sqrt(2))log|(x-3-sqrt(2))/(x-3+sqrt(2))|+c`

C

`-(1)/(2)log|6x-7-x^(2)|-(7)/(2sqrt(2))log|(x-3-sqrt(2))/(x-3+sqrt(2))|+c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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