∫x2+3xdx is equal to

x2+3xdx is equal to

  1. A

    2x+32x2+3x94log2x+32+x2+3x+C

  2. B

    2x+34x2+3x94log2x+32+x2+3x+C

  3. C

    x+32x2+3x98logx+32+x2+3x+C

  4. D

    None of the above

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    Solution:

    Let

    I=x2+3xdx=x2+3x322+322dx=x+322322dxI=x+322x+32232294×2logx+32+x2+3x+C

    x2a2dx=x2x2a2a22logx+x2a2I=2x+34x2+3x98log2x+32+x2+3x+C

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