What is the integral from 2 to 8 of 3/x ?

The integral from 2 to 8 of 3/x is 6ln(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 8 of 3/x

\int_{2}^{8} \frac{3}{x} d x

6 ln (2)

Decimal Notation

4.15888 \dots

Solution steps

\int_{2}^{8} \frac{3}{x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int_{2}^{8} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 3 [ln ∣ x ∣]_{2}^{8}

Compute the boundaries:

2 ln (2)

= 3 \cdot 2 ln (2)

Simplify

= 6 ln (2)

\int_{0}^{0.5} 7 arccos (x) d x

x \to \infty lim (e^{+ x})

n = 0 \sum \infty (1 + \frac{1}{n})^{- n}

\int \frac{1}{( 5 x + 1 ) ^{3}} d x

\frac{d}{d x} (3 x^{4} - 5 x^{2} + 2 3 x)

What is the integral from 2 to 8 of 3/x ?
The integral from 2 to 8 of 3/x is 6ln(2)