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Integrate the following int(dx)/(sqrt(11...

Integrate the following `int(dx)/(sqrt(11-4x^2)`

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`int(dx)/(sqrt(11-4x^2))`
[put 2x=`sqrt11sintheta` Then 2dx=`sqrt11costhetad theta`]
`int((sqrt11)/2 costheta d theta)/(sqrt(11-11sin^2theta))`
`(1/2)intd theta =(1/2)theta+C =(1/2)sin^(-1)(2x/sqrt11)+C`
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