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int(2/sqrt3)^2(dx)/(x(sqrtx^2-1)...

`int_(2/sqrt3)^2(dx)/(x(sqrtx^2-1)`

Text Solution

Verified by Experts

`int_(2/sqrt3)^2(dx)/(x(sqrtx^2-1)dx)=[sec^(-1)x]_0^1`
`sec^(-2)-sec^(-1)(2/sqrt3)`
`cos^(-1)-cos^(-1)((sqrt3)/2)=pi/6`
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