What is the integral of 22x^2ln(x) ?

The integral of 22x^2ln(x) is 22(1/3 x^3ln(x)-(x^3)/9)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 22x^2ln(x)

\int 22 x^{2} ln (x) d x

22 (\frac{1}{3} x^{3} ln (x) - \frac{x ^{3}}{9}) + C

Solution steps

\int 22 x^{2} ln (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 22 \cdot \int x^{2} ln (x) d x

Apply Integration By Parts

: \frac{1}{3} x^{3} ln (x) - \int \frac{x ^{2}}{3} d x

= 22 (\frac{1}{3} x^{3} ln (x) - \int \frac{x ^{2}}{3} d x)

\int \frac{x ^{2}}{3} d x = \frac{x ^{3}}{9}

= 22 (\frac{1}{3} x^{3} ln (x) - \frac{x ^{3}}{9})

Add a constant to the solution

= 22 (\frac{1}{3} x^{3} ln (x) - \frac{x ^{3}}{9}) + C

g (x) = x^{2}

x \to 0 lim (I n (1 + sin (x)))

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

y = ln (7 x^{2} + 3 y^{2})

What is the integral of 22x^2ln(x) ?
The integral of 22x^2ln(x) is 22(1/3 x^3ln(x)-(x^3)/9)+C