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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

Graph

Popular Examples

integral of (16)/(1-cos(8x))

\int \frac{16}{1 - cos ( 8 x )} d x

laplacetransform e^{-t+1}laplace transform

e^{- t + 1}

derivative of 1/(5x^5)

\frac{d}{d x} (\frac{1}{5 x ^{5}})

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

\frac{- 1}{x ^{2}}

integral of 4/(1+sqrt(5x))

\int \frac{4}{1 + 5 x} d x

Frequently Asked Questions (FAQ)

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