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CBSE Class 12-science Answered

Integration 2x tan-1  x2/(1 + x4)dx explain in great detail
Asked by haroonrashidgkp | 05 Oct, 2018, 12:15: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator 2 xtan to the power of negative 1 end exponent straight x squared over denominator 1 plus straight x to the power of 4 end fraction dx
put space tan to the power of negative 1 end exponent straight x squared equals straight t
fraction numerator 2 xdx over denominator 1 plus straight x to the power of 4 end fraction equals dt
straight I equals integral tdt
straight I equals straight t squared over 2 plus straight c
straight I equals open parentheses tan to the power of negative 1 end exponent straight x squared close parentheses squared over 2 plus straight c end style
Answered by Sneha shidid | 06 Oct, 2018, 07:27: PM
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