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Popular >

integral of 1ln(x)

Solution

\int 1 ln (x) d x

Solution

x ln (x) - x + C

Solution steps

\int 1 \cdot 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

integral of (x^3+5x^2-2)

\int (x^{3} + 5 x^{2} - 2) d x

integral of (sqrt(x^3+1))

\int (x^{3} + 1) d x

integral of ((x^2+x+6))/(x^3+4x^2+6x)

\int \frac{( x ^{2} + x + 6 )}{x ^{3} + 4 x ^{2} + 6 x} d x

integral of 2x*sqrt(1+x^2)

\int 2 x \cdot 1 + x^{2} d x

integral of (ln(x+1))/((x+2)^2)

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

Frequently Asked Questions (FAQ)

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