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Integrate the functionssqrt(4-x^2)...

Integrate the functions`sqrt(4-x^2)`

Text Solution

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Given `I=int sqrt(4-x^2) dx`
`= int sqrt(2^2-x^2)dx`
`=x/2 sqrt(2^2-x^2)+1/2 xx 2^2 sin^(-1) (x/2)+C`
`=x/2 sqrt (4-x^2)+ 2 sin^(-1) (x/2)+C`
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