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(cosx)/(sqrt(4-sin^(2)x))...

`(cosx)/(sqrt(4-sin^(2)x))`

Text Solution

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`"Let I "= int (cos x)/(sqrt(4-sin^(2)x))dx`
`"Let " sin x=t rArr cos x dx=dt`
`:. I =int (1)/(sqrt(4-t^(2))) dt= sin^(-1) ((t)/(2)) +C`
`=sin^(-1) .((sinx)/(2))+C`
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