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CBSE Class 12-science Answered

evaluate Integration (x6 – 1/x2 + 1)dx  explain in great detail
Asked by haroonrashidgkp | 22 Sep, 2018, 04:13: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator straight x to the power of 6 minus 1 over denominator straight x squared plus 1 end fraction dx
straight I equals integral fraction numerator open parentheses straight x to the power of 4 minus straight x squared plus 1 close parentheses open parentheses straight x squared plus 1 close parentheses minus 2 over denominator straight x squared plus 1 end fraction dx
straight I equals integral open parentheses straight x to the power of 4 minus straight x squared plus 1 minus fraction numerator 2 over denominator straight x squared plus 1 end fraction close parentheses dx
straight I equals straight x to the power of 5 over 5 minus straight x cubed over 3 plus straight x minus 2 tan to the power of negative 1 end exponent straight x plus straight c
end style
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