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Popular >

integral of ln(x)

Solution

integral

ln (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

f (x) = x

polar (0,-3)cartesian to polar

(0, - 3)

slope of y=x slope

y = x

derivative of f(x)= 1/(sqrt(x^3))derivative of

f (x) = \frac{1}{x ^{3}}

derivative of f(x)=-(10)/x ,\at x=-12 derivative of

f (x) = - \frac{10}{x}, at x = - 12

Frequently Asked Questions (FAQ)

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