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CBSE Class 11-science Answered

Find f(x).
question image
Asked by dineshchem108 | 31 Aug, 2018, 10:00: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight f apostrophe left parenthesis straight x right parenthesis equals straight x squared minus 1 over straight x squared
integral straight f apostrophe left parenthesis straight x right parenthesis dx equals integral open parentheses straight x squared minus 1 over straight x squared close parentheses dx
straight f left parenthesis straight x right parenthesis equals straight x cubed over 3 minus fraction numerator straight x to the power of negative 1 end exponent over denominator negative 1 end fraction plus straight c
straight f left parenthesis straight x right parenthesis equals straight x cubed over 3 plus 1 over straight x plus straight c
straight f left parenthesis 1 right parenthesis equals 1 third
1 third plus 1 plus straight c equals 1 third
straight c equals negative 1
straight f left parenthesis straight x right parenthesis equals straight x cubed over 3 plus 1 over straight x minus 1

end style
Answered by Sneha shidid | 03 Sep, 2018, 12:42: PM

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