What is the integral of ln(14x) ?

The integral of ln(14x) is xln(14x)-x+C

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integral of ln(14x)

\int ln (14 x) d x

x ln (14 x) - x + C

Solution steps

\int ln (14 x) d x

Apply Integration By Parts

: x ln (14 x) - \int 1 d x

= x ln (14 x) - \int 1 d x

\int 1 d x = x

= x ln (14 x) - x

Add a constant to the solution

= x ln (14 x) - x + C

x \to 1 lim (cos (π x))

\int \frac{cos ( 2 x )}{sin ( 2 x )} d x

x \to 8 lim (\frac{x ^{2}}{4} - \frac{2}{x})

\frac{d}{d x} (\frac{x ^{2} + 4 x + 3}{x})

\frac{d}{d x} (x - b ln (x))