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int (1)/(2x^(2)-3)dx=...

`int (1)/(2x^(2)-3)dx=`

A

`(1)/(sqrt(6)) "log " |(sqrt(2)x - sqrt(3))/(sqrt(2) x + sqrt(3)) | + C `

B

`(1)/(2 sqrt(6)) "log " |(sqrt(2)x - sqrt(3))/(sqrt(2) x + sqrt(3)) | + C `

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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