∫dx8+3x−x2 is equal to

dx8+3xx2 is equal to

  1. A

    23sin12x141+C

  2. B

    32sin12x341+C

  3. C

    141sin12x341+C

  4. D

    sin12x341+C

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    Solution:

    Let

    I=18+3xx2dx=18x23x+322322dx=18x32294dx=18+94x322dx=14122x322dx

    Let x32=tdx=dt

    I=14122t2dt=sin1t412+Cdxa2x2=sin1xa=sin1x32412+C=sin12x341+Ct=x32

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