What is the integral of ln(x)+c ?

The integral of ln(x)+c is x(ln(x)+c)-x+C

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integral of ln(x)+c

\int ln (x) + c d x

x (ln (x) + c) - x + C

Solution steps

\int ln (x) + c d x

Apply Integration By Parts

: x (ln (x) + c) - \int 1 d x

= x (ln (x) + c) - \int 1 d x

\int 1 d x = x

= x (ln (x) + c) - x

Add a constant to the solution

= x (ln (x) + c) - x + C

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