What is the integral of $ln(7x)$ ?

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Answer 1 · 2014-12-09T01:01:21

$int u dv=uv- int v du$

Let $u=ln(7x)" "$ $" "dv=dx$
$=> du={dx}/x" "$ $" "=> v=x$

By Integration by Parts,

$int ln(7x) dx=ln(7x) cdot x- int x cdot {dx}/x$

$=x ln(7x)-int dx+C$

$=x ln(7x) - x+C$

I hope that this was helpful.

What is the integral of ln(7x)ln(7x)?