en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/(3+x)

Solution

\int \frac{1}{3 + x} d x

Solution

ln ∣ 3 + x ∣ + C

Solution steps

\int \frac{1}{3 + x} d x

Apply u-substitution

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

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

Use the common integral:

\int \frac{1}{u} d u = ln (∣ u ∣)

= ln ∣ u ∣

Substitute back

u = 3 + x

= ln ∣ 3 + x ∣

Add a constant to the solution

= ln ∣ 3 + x ∣ + C

Popular Examples

2 y^{^{'}} + 5 y = 4

integral of cos(npi x/2)

\int cos (nπ \frac{x}{2}) d x

derivative of sqrt(6+5{f)(x})

\frac{d}{d x} (6 + 5 f (x))

integral from 0.1 to 0.2 of 600x

\int_{0.1}^{0.2} 600 x d x

limit as x approaches infinity of x-3

x \to \infty lim (x - 3)

Frequently Asked Questions (FAQ)

What is the integral of 1/(3+x) ?
The integral of 1/(3+x) is ln|3+x|+C