Grade 10Integral Calculus
∫dx/logx . (Integration from 3to2) Please solve the problems clearly
∫dx/logx . (Integration from 3to2)
Please solve the problems clearly
1 Answer
Arun
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
∫ 1 / logx dx
∫ 1 / (lnx / ln10) dx
∫ ln10 / lnx dx
ln10 ∫ 1 / lnx dx
(ln10)Li(x) + C
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