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Popular >

integral of ln(x)-1

Solution

\int ln (x) - 1 d x

Solution

x ln (x) - 2 x + C

Solution steps

\int ln (x) - 1 d x

Apply Integration By Parts

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

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

\int 1 d x = x

= x (ln (x) - 1) - x

Simplify

x (ln (x) - 1) - x : x ln (x) - 2 x

= x ln (x) - 2 x

Add a constant to the solution

= x ln (x) - 2 x + C

Popular Examples

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xe^{2y}(dy}{dx}+e^{2y}=\frac{ln(x))/x

x e^{2 y} \frac{d y}{d x} + e^{2 y} = \frac{ln ( x )}{x}

integral of 1/(4u^2+3)

\int \frac{1}{4 u ^{2} + 3} d u

integral of 8arctan(2y)

\int 8 arctan (2 y) d y

Frequently Asked Questions (FAQ)

What is the integral of ln(x)-1 ?
The integral of ln(x)-1 is xln(x)-2x+C