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`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

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Correct Answer - 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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