What is the integral of x^{17}ln(x) ?

The integral of x^{17}ln(x) is 1/18 x^{18}ln(x)-(x^{18})/(324)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^{17}ln(x)

\int x^{17} ln (x) d x

\frac{1}{18} x^{18} ln (x) - \frac{x ^{18}}{324} + C

Solution steps

\int x^{17} ln (x) d x

Apply Integration By Parts

: \frac{1}{18} x^{18} ln (x) - \int \frac{x ^{17}}{18} d x

= \frac{1}{18} x^{18} ln (x) - \int \frac{x ^{17}}{18} d x

\int \frac{x ^{17}}{18} d x = \frac{x ^{18}}{324}

= \frac{1}{18} x^{18} ln (x) - \frac{x ^{18}}{324}

Add a constant to the solution

= \frac{1}{18} x^{18} ln (x) - \frac{x ^{18}}{324} + C

\int 20 tan (x) sec^{4} (x) d x

\int (2 x + 6)^{7} d x

\int \frac{6 x ^{8} + 9 x ^{2} - 9 x}{3 x ^{2}} d x

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

\int 4 x^{3} + sin (x) d x

What is the integral of x^{17}ln(x) ?
The integral of x^{17}ln(x) is 1/18 x^{18}ln(x)-(x^{18})/(324)+C