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CBSE Class 12-science Answered

∫ e^x/x*(1+xlogx)
Asked by niteeshk9807 | 11 Nov, 2018, 01:21: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator straight e to the power of straight x open parentheses 1 plus xlogx close parentheses over denominator straight x end fraction dx
straight I equals integral straight e to the power of straight x open parentheses 1 over straight x plus logx close parentheses dx
Consider comma
straight f left parenthesis straight x right parenthesis equals logx space then space straight f apostrophe left parenthesis straight x right parenthesis equals 1 over straight x
straight I equals integral straight e to the power of straight x open square brackets straight f left parenthesis straight x right parenthesis plus straight f apostrophe left parenthesis straight x right parenthesis close square brackets dx equals straight e to the power of straight x straight f left parenthesis straight x right parenthesis plus straight c
straight I equals straight e to the power of straight x logx space plus thin space straight c end style
Answered by Sneha shidid | 12 Nov, 2018, 09:22: AM
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