∫etan−1⁡x1+x+x21+x2dx is equal to

etan1x1+x+x21+x2dx is equal to

  1. A

    xetan1x+C

  2. B

    x2etan1x+C

  3. C

    1xetan1x+C

  4. D

    none of these 

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    Solution:

    Putting tan1x=t  we have 

    I=etan1x1+x+x21+x2dx

     l=ettant+sec2tdt=ettant+C=xetan1x+C

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