en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand dx(1+1/x)

Solution

expand

d x (1 + \frac{1}{x})

Solution

d x + \frac{d x}{x}

Solution steps

d x (1 + \frac{1}{x})

Apply the distributive law:

a (b + c) = ab + a c

a = d x, b = 1, c = \frac{1}{x}

= d x \cdot 1 + d x \frac{1}{x}

= 1 \cdot d x + \frac{1}{x} d x

Simplify

1 \cdot d x + \frac{1}{x} d x : d x + \frac{d x}{x}

= d x + \frac{d x}{x}

Popular Examples

expand (x+2)/((x-1)(x^2+4))expand

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

((x^3-x^2-2x)(2x^2+6x+7))/((x+2))

\frac{( x ^{3} - x ^{2} - 2 x ) ( 2 x ^{2} + 6 x + 7 )}{( x + 2 )}

expand 3(x-63(x-6)=20-5)expand

3 (x - 63 (x - 6) = 20 - 5)

simplify (arctan(2x))(1-x^2)simplify

(arctan (2 x)) (1 - x^{2})

simplify (4/(x-12)+6(100-x))(x-12)simplify

(\frac{4}{x - 12} + 6 (100 - x)) (x - 12)

Frequently Asked Questions (FAQ)

What is expand dx(1+1/x) ?
The solution to expand dx(1+1/x) is dx+(dx)/x