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int (5x^(2) + 3)/(x^(2) (x^(2) - 2))dx =...

`int (5x^(2) + 3)/(x^(2) (x^(2) - 2))dx = `

A

`(13)/(2 sqrt(2)) log |(sqrt(2) -x)/(sqrt(2)+x)| + (3)/(2x) +C`

B

`(13)/(4sqrt(2))log|(x+ sqrt(2))/(x - sqrt(2))|+(3)/(2x) +C`

C

`(13)/(4 sqrt(2)) log |(x - sqrt(2))/(x + sqrt(2))|+(3)/(2x)+C`

D

`(5)/(3sqrt(2))log |(x + 2sqrt(2))/(x - sqrt(2))|+ (3)/(5)x + C`

Text Solution

Verified by Experts

The correct Answer is:
C
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