What is the integral from 100 to 120 of 600x^{-1} ?

The integral from 100 to 120 of 600x^{-1} is 600ln(6/5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 100 to 120 of 600x^{-1}

\int_{100}^{120} 600 x^{- 1} d x

600 ln (\frac{6}{5})

Decimal

109.39293 \dots

Solution steps

\int_{100}^{120} 600 x^{- 1} d x

Take the constant out:

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

= 600 \cdot \int_{100}^{120} x^{- 1} d x

Use the common integral:

\int x^{- 1} d x = ln (∣ x ∣)

= 600 [ln ∣ x ∣]_{100}^{120}

Compute the boundaries:

ln (120) - 2 ln (10)

= 600 (ln (120) - 2 ln (10))

Simplify

= 600 ln (\frac{6}{5})

\int_{0}^{1} \frac{x ^{2} - 1}{x - 1} d x

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

\int_{0}^{\frac{1}{2}} 3 x d x

\int_{\frac{1}{2}}^{2} (5 - \frac{5}{x ^{2}}) d x

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

What is the integral from 100 to 120 of 600x^{-1} ?
The integral from 100 to 120 of 600x^{-1} is 600ln(6/5)