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my teacher asked me this question and said you have to go through logical way to solve this problem..i could not do thia plz help me::: ∫ lower limit 1,upper limit ∞:ln(x)/x dx any help is appreciated:

my teacher asked me this question and said you have to go through logical way to solve this problem..i could not do thia plz help me:::


∫ lower limit 1,upper limit ∞:ln(x)/x dx


any help is appreciated:

Grade:12

1 Answers

k sesi preetam
7 Points
8 years ago

actually in this problem take ln(x) =u as the substitution at last you get  U.du    as the integrand which on integrating gives you u^2/2. u= lnx on substituing it and applying the limits you get your answer. There is no such a big logic in this sum. Hope this helps you and if you really want to do a good problem Do this:-

∫ (x^2+1)/x^4+kx^2+1. Hope the answer given by me helps U. Cheers man.

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