What is the integral of (ln(x))/1 ?

The integral of (ln(x))/1 is xln(x)-x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (ln(x))/1

\int \frac{ln ( x )}{1} d x

x ln (x) - x + C

Solution steps

\int \frac{ln ( x )}{1} d x

Simplify

= \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

\int sec^{3} (t) tan (t) d t

\int (2 e^{x} + 8 x^{7}) d x

\int \frac{5 e ^{2 x}}{1 - e ^{2 x}} d x

\int e^{x} + 4 d x