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int(dx)/(4x^2+20x+17)=...

`int(dx)/(4x^2+20x+17)=`

A

`(1)/(4sqrt(2))log|(2x-5-2sqrt(2))/(2x-5+2sqrt(2))|+c`

B

`(1)/(4sqrt(2))log|(2x-5+2sqrt(2))/(2x-5-2sqrt(2))|+c`

C

`(1)/(8sqrt(2))log|(2x-5-2sqrt(2))/(2x-5+2sqrt(2))|+c`

D

`(1)/(8sqrt(2))log|(2x-5+2sqrt(2))/(2x-5-2sqrt(2))|+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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