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-70)

Solution

\int \frac{1}{x - 70} d x

Solution

ln ∣ x - 70 ∣ + C

Solution steps

\int \frac{1}{x - 70} 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 - 70

= ln ∣ x - 70 ∣

Add a constant to the solution

= ln ∣ x - 70 ∣ + C

Popular Examples

integral of (9x^2-8x+4)/(x^3+4x)

\int \frac{9 x ^{2} - 8 x + 4}{x ^{3} + 4 x} d x

(\partial)/(\partial x)(6x^4y-3xy+2y)

\frac{\partial}{\partial x} (6 x^{4} y - 3 x y + 2 y)

limit as x approaches 2 of 3-x

x \to 2 lim (3 - x)

integral from 0 to pi of 2pisin(x)

\int_{0}^{π} 2 π sin (x) d x

x y^{'} = 2 y

Frequently Asked Questions (FAQ)

What is the integral of 1/(x-70) ?
The integral of 1/(x-70) is ln|x-70|+C