Evaluate the following integral:

First, we add and subtract in the numerator,

For the integral on the left, let then and so we have

Therefore, we have

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Stumbling Robot

A Fraction of a Dot
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Find the integral of * 1/(x log x) *

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4 comments

### Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):

Evaluate the following integral:

First, we add and subtract in the numerator,

For the integral on the left, let then and so we have

Therefore, we have

If we do the above integration by integration by parts we 1/x as second function and logx as first function we end up with the expression I = 1 + I , so can you tell me what’s wrong with this method ?

Thank you for the help

what if you just let u = log x du = 1/x dx so then you have the integral of 1/u du, integrate and you get log u + c. subsititute to obtain: log | log x| + c

need help to find the integral ln(x)/(x+a). Really appreciate it if you can show the integral can be expressed in elementary functions.