en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 1/(s+2)

Solution

\int \frac{1}{s + 2} d s

Solution

ln ∣ s + 2 ∣ + C

Solution steps

\int \frac{1}{s + 2} d s

Apply u-substitution

= \int \frac{1}{u} d u

Use the common integral:

\int \frac{1}{u} d u = ln (∣ u ∣)

= ln ∣ u ∣

Substitute back

u = s + 2

= ln ∣ s + 2 ∣

Add a constant to the solution

= ln ∣ s + 2 ∣ + C

Graph

Popular Examples

integral of (2y)/(sqrt(1-4y^2))

integral of sqrt(144-36x^2)

integral of 1/(sin^2(x/2))

integral of 5/(x^2)sin^2(-5/x)

integral of (3x-5)/(x^2+5)

Frequently Asked Questions (FAQ)

What is the integral of 1/(s+2) ?
The integral of 1/(s+2) is ln|s+2|+C