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∫dx/logx . (Integration from 3to2) Please solve the problems clearly

∫dx/logx .  (Integration from 3to2)
      Please solve the problems clearly
 

Grade:10

1 Answers

Arun
25758 Points
4 years ago
That function cannot be integrated in terms of standard mathematical functions because none of them have this function as a derivative. There is an imaginary function which has been made to account for integrals like these called the logarithmic integral. 

∫ 1 / logx dx 
∫ 1 / (lnx / ln10) dx 
∫ ln10 / lnx dx 
ln10 ∫ 1 / lnx dx 
(ln10)Li(x) + C

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