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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

integral of (t^3-8t+1)/((2t)^4)

\int \frac{t ^{3} - 8 t + 1}{( 2 t ) ^{4}} d t

derivative of y=ln((3+e^x)/(3-e^x))derivative of

y = ln (\frac{3 + e ^{x}}{3 - e ^{x}})

tangent of f(x)=(ln(x))^3,\at x=9 tangent of

f (x) = (ln (x))^{3}, at x = 9

limit as x approaches 0 of (2-2cos(x))/x

x \to 0 lim (\frac{2 - 2 cos ( x )}{x})

integral from a to b of x

\int_{a}^{b} x d x

Frequently Asked Questions (FAQ)

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