en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/y

Solution

integral

\frac{1}{y}

Solution

ln ∣ y ∣ + C

Solution steps

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

Use the common integral:

\int \frac{1}{y} d y = ln (∣ y ∣)

= ln ∣ y ∣

Add a constant to the solution

= ln ∣ y ∣ + C

Popular Examples

integral of 4^xe^{2x}

\int 4^{x} e^{2 x} d x

integral of (x^2)/(x^2+2x-15)

\int \frac{x ^{2}}{x ^{2} + 2 x - 15} d x

integral of (2x+1)cos(x)

\int (2 x + 1) cos (x) d x

integral of x/((x^2+a^2)^n)

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

integral of 1/(2sqrt(x)\sqrt{1-x)}

\int \frac{1}{2 x 1 - x} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/y ?
The integral of 1/y is ln|y|+C