en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/(x+7)

Solution

\int \frac{1}{x + 7} d x

Solution

ln ∣ x + 7 ∣ + C

Solution steps

\int \frac{1}{x + 7} 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 = x + 7

= ln ∣ x + 7 ∣

Add a constant to the solution

= ln ∣ x + 7 ∣ + C

Graph

Popular Examples

integral from 4 to 5 of x/8

\int_{4}^{5} \frac{x}{8} d x

integral of ln(a+bx)

\int ln (a + b x) d x

inverse oflaplace 1/((s-1)^2-4)inverse laplace

\frac{1}{( s - 1 ) ^{2} - 4}

(x^2+2)y^'+2xy=x^3

(x^{2} + 2) y^{^{'}} + 2 x y = x^{3}

integral from 0 to 5 of 4x^2

\int_{0}^{5} 4 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/(x+7) ?
The integral of 1/(x+7) is ln|x+7|+C