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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Integral Calculus
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Integrate :$\int \sqrt {4x-x^2}dx$

\[\begin {array} {1 1} (a)\;\frac{(x-2)}{2}\sqrt {4x-2x^2}+2 \sin ^{-1} \bigg(\frac{x-2}{2}\bigg)+c \\ (b)\;\frac{(x-2)}{2}\sqrt {4x-x^2}+2 \sin ^{-1} \bigg(\frac{x-2}{2}\bigg)+c \\ (c)\;\frac{-(x-2)}{2}\sqrt {4x-x^2}+2 \sin ^{-1} \bigg(\frac{x-2}{2}\bigg)+c \\ (d)\;None \end {array}\]

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