What is the integral of 1/(20y) ?

The integral of 1/(20y) is 1/20 ln|y|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/(20y)

\int \frac{1}{20 y} d y

\frac{1}{20} ln ∣ y ∣ + C

Solution steps

\int \frac{1}{20 y} d y

Take the constant out:

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

= \frac{1}{20} \cdot \int \frac{1}{y} d y

Use the common integral:

\int \frac{1}{y} d y = ln (∣ y ∣)

= \frac{1}{20} ln ∣ y ∣

Add a constant to the solution

= \frac{1}{20} ln ∣ y ∣ + C

\frac{d}{d x} (7^{2 x - 1})

\int \frac{a ^{2 x}}{2 ln ( a )} d x

\int_{0}^{2} 2 x d x

\frac{d}{d x} (\frac{x}{8 + x})

\frac{d y}{d x} + \frac{y}{x} = 6 x^{7} y^{2}