What is the integral from 8 to 10 of 0.5x^{-1.5} ?

The integral from 8 to 10 of 0.5x^{-1.5} is 0.03732…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 8 to 10 of 0.5x^{-1.5}

\int_{8}^{10} 0.5 x^{- 1.5} d x

0.03732 \dots

Solution steps

\int_{8}^{10} 0.5 x^{- 1.5} d x

Take the constant out:

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

= 0.5 \cdot \int_{8}^{10} x^{- 1.5} d x

Apply the Power Rule

: [- \frac{2}{x}]_{8}^{10}

= 0.5 [- \frac{2}{x}]_{8}^{10}

Compute the boundaries:

- \frac{2}{5} + \frac{1}{2}

= 0.5 (- \frac{2}{5} + \frac{1}{2})

Simplify

= 0.03732 \dots

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

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

\int_{2}^{3} (3 t + 2) d t

\int_{0}^{1} (\frac{3}{8}) x^{2} d x

\int_{π}^{0} - sin^{2} (x) d x

What is the integral from 8 to 10 of 0.5x^{-1.5} ?
The integral from 8 to 10 of 0.5x^{-1.5} is 0.03732…