What is the integral from 5 to 10 of 1/x ?

The integral from 5 to 10 of 1/x is ln(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 5 to 10 of 1/x

\int_{5}^{10} \frac{1}{x} d x

ln (2)

Decimal

0.69314 \dots

Solution steps

\int_{5}^{10} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{5}^{10}

Compute the boundaries:

ln (10) - ln (5)

= ln (10) - ln (5)

Simplify

= ln (2)

\int_{0}^{l n (2)} 1

\int_{- 2}^{3} (- 2 ∣ x ∣) d x

\int_{0}^{8} 3 d x

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

\int_{0}^{1} a x + b x^{3} d x

What is the integral from 5 to 10 of 1/x ?
The integral from 5 to 10 of 1/x is ln(2)