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int(1)/(sqrt(4x^(2)-4x+3))dx=...

`int(1)/(sqrt(4x^(2)-4x+3))dx=`

A

`(1)/(2)log[(x-(1)/(2))-sqrt(x^(2)-x+(3)/(4))]+c`

B

`(1)/(2)log[(x-(1)/(2))+sqrt(x^(2)-x+(3)/(4))]+c`

C

`(1)/(2)log[(x+(1)/(2))-sqrt(x^(2)+x-(3)/(4))]+c`

D

`(1)/(2)tan^(-1)(4x^(2)-4x+3)+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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