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Evaluate: int(2x-sqrt(cos^(-1)x))/(sqrt(...

Evaluate: `int(2x-sqrt(cos^(-1)x))/(sqrt(1-x^2))dxdot`

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Verified by Experts

`I=int(2x-sqrt(sin^(-1)x))/(sqrt(1-x^(2)))dx`
`= -int(-2x)/(sqrt(1-x^(2)))dx-int((sin^(-1)x)^(1//2))/(sqrt(1-x^(2)))dx`
`=-int(1-x^(2))^(-1//2)(1-x^(2))'dx -int(sin^(-1)x)^(1//2)(sin^(-1)x)'dx`
`= -((1-x^(2))^(1//2))/(1//2)-((sin^(-1)x)^(3//2))/(3//2)+c`
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