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intsqrt(2x-x^(2))dx...

`intsqrt(2x-x^(2))dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2)(x-1)sqrt(2x-x^(2))+(1)/(2)sin^(-1)(x-1)+C`
`I=intsqrt(-(x^(2)-2x+1)+1)dx=intsqrt(1-(x-1)^(2))dx`.
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