What is the integral from 5 to 8 of (30)/x ?

The integral from 5 to 8 of (30)/x is 30(3ln(2)-ln(5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 5 to 8 of (30)/x

\int_{5}^{8} \frac{30}{x} d x

30 (3 ln (2) - ln (5))

Decimal Notation

14.10010 \dots

Solution steps

\int_{5}^{8} \frac{30}{x} d x

Take the constant out:

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

= 30 \cdot \int_{5}^{8} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 30 [ln ∣ x ∣]_{5}^{8}

Compute the boundaries:

3 ln (2) - ln (5)

= 30 (3 ln (2) - ln (5))

\int_{0}^{π} - 0.1 cos (x) sin (x) d x

\int_{- 2}^{4} x^{2} - 2 x d x

\int_{0}^{100} 2 ((x^{2}) - a x) d x

\int_{0}^{1} 2 x \cdot e^{x} d x

\int_{1}^{4} (3 x - 3 x) d x

What is the integral from 5 to 8 of (30)/x ?
The integral from 5 to 8 of (30)/x is 30(3ln(2)-ln(5))