What is the integral of (1000)/x ?

The integral of (1000)/x is 1000ln|x|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (1000)/x

\int \frac{1000}{x} d x

1000 ln ∣ x ∣ + C

Solution steps

\int \frac{1000}{x} d x

Take the constant out:

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

= 1000 \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 1000 ln ∣ x ∣

Add a constant to the solution

= 1000 ln ∣ x ∣ + C

\int 5^{x} x d x

\int sin (x) (cos (x) + 7)^{4} d x

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

\int (x + 8) 16 x + x^{2} d x