∫−23 x2−1dx is equal to

23x21dx is equal to

  1. A

    3

  2. B

    13

  3. C

    173

  4. D

    283

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    Solution:

    23x21dx=21x21dx+11x21dx+13x21dx

    [here, modulus function will change at the points, ,when x21=0i. . , at x=±1

    so,

    I=21x21dx+111x2dx+13x21dx=x33x21+xx3311+x33x13=23+23+23+23+6+23=283

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