What is the integral of (30)/x ?

The integral of (30)/x is 30ln|x|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (30)/x

\int \frac{30}{x} d x

30 ln ∣ x ∣ + C

Solution steps

\int \frac{30}{x} d x

Take the constant out:

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

= 30 \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 30 ln ∣ x ∣

Add a constant to the solution

= 30 ln ∣ x ∣ + C

\int \frac{t - 1}{t ^{4} + 6 t ^{3} + 9 t ^{2}} d t

\int \frac{I n ( x )}{x} d x

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

\int \frac{e ^{x}}{1 + e ^{x}} d x

\int 6 x^{4} tan (3 x^{5}) d x