What is the integral from 2 to 6 of 1/x ?

The integral from 2 to 6 of 1/x is ln(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 6 of 1/x

\int_{2}^{6} \frac{1}{x} d x

ln (3)

Decimal

1.09861 \dots

Solution steps

\int_{2}^{6} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{2}^{6}

Compute the boundaries:

ln (6) - ln (2)

= ln (6) - ln (2)

Simplify

= ln (3)

\int_{0}^{π} y sin (y) d y

\int_{0}^{1} (2 - x) d x

\int_{1}^{5} 2 x + 7 d x

\int_{0}^{18 π} sin (x) d x

\int_{1}^{2} \frac{x - 3}{x ^{3} + x ^{2}} d x

What is the integral from 2 to 6 of 1/x ?
The integral from 2 to 6 of 1/x is ln(3)