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Popular >

integral of ln(-x)

Solution

\int ln (- x) d x

Solution

x ln (- x) - x + C

Solution steps

\int ln (- x) d x

Apply Integration By Parts

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

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

\int 1 d x = x

= x ln (- x) - x

Add a constant to the solution

= x ln (- x) - x + C

Popular Examples

limit as x approaches 0+of ln(x)x

x \to 0 + lim (ln (x) x)

integral of (x/(1-x^2))

\int (\frac{x}{1 - x ^{2}}) d x

derivative of sec(x-1)

\frac{d}{d x} (sec (x) - 1)

integral of 2/(x^2+2)

\int \frac{2}{x ^{2} + 2} d x

f (x) = cos (x) e^{x}

Frequently Asked Questions (FAQ)

What is the integral of ln(-x) ?
The integral of ln(-x) is xln(-x)-x+C