What is expand x^2*(ln(x+2)-1)dx ?

The solution to expand x^2*(ln(x+2)-1)dx is x^2ln(x+2)dx-x^2dx

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand x^2*(ln(x+2)-1)dx

expand

x^{2} \cdot (ln (x + 2) - 1) d x

x^{2} ln (x + 2) d x - x^{2} d x

Solution steps

x^{2} (ln (x + 2) - 1) d x

Apply the distributive law:

a (b - c) = ab - a c

a = x^{2} d x, b = ln (x + 2), c = 1

= x^{2} d x ln (x + 2) - x^{2} d x \cdot 1

= x^{2} ln (x + 2) d x - 1 \cdot x^{2} d x

Multiply:

1 \cdot x^{2} = x^{2}

= x^{2} ln (x + 2) d x - x^{2} d x

- \frac{3}{4} (x + 2) (x + 1) (x - 3)

\frac{20 ( 5 + 2 5 )}{3}

\frac{200 - 200 ( 1 - x ) ^{\frac{1}{3}}}{( 1 - x ) ^{\frac{1}{3}}}

(\frac{2 i}{n} + 1)^{2}

\frac{( x + 3 ) ( x + 1 )}{x ^{2} + 1}

What is expand x^2*(ln(x+2)-1)dx ?
The solution to expand x^2*(ln(x+2)-1)dx is x^2ln(x+2)dx-x^2dx