What is the integral of ln(10x) ?

The integral of ln(10x) is xln(10x)-x+C

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integral of ln(10x)

\int ln (10 x) d x

x ln (10 x) - x + C

Solution steps

\int ln (10 x) d x

Apply Integration By Parts

: x ln (10 x) - \int 1 d x

= x ln (10 x) - \int 1 d x

\int 1 d x = x

= x ln (10 x) - x

Add a constant to the solution

= x ln (10 x) - x + C

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