Solve Logarithmic Integral int. (ln(ax+b))^2

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SUMMARY

The integral of the function (ln(ax+b))^2 can be solved using integration by parts. The suggested approach involves setting u = ln(ax + b) and dv = dx, allowing for a breakdown of the logarithmic component into fractions that are simpler to integrate. This method effectively simplifies the problem and leads to a solution.

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Does anyone know how to solve this integral?
int. (ln(ax+b))^2

Struggling!
Thanks :D
 
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By parts (u = dv =log(ax + b) )
 
Last edited:
do it by parts
assume 1 as the second part and continue.
the logarithmic part will break down to fractions which can be easily integrated
 

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