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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2 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

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.