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int\ dx/sqrt(4x^2-9)...

`int\ dx/sqrt(4x^2-9)`

A

`(1)/(2)log |2x+sqrt(4x^(2)-9)|+C`

B

`(1)/(4)log |2x+sqrt(4x^(2)-9)|+C`

C

`log |2x+sqrt(4x^(2)-9)|+C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`I=(1)/(2)int(dx)/(sqrt(x^(2)-((3)/(2))^(2)))=(1)/(2) log |x+sqrt(x^(2)-(9)/(4))|+C =(1)/(2)log |2x+sqrt(4x^(2)-9)|+C.`
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