What is the integral from 1 to 8 of x^{-5/3} ?

The integral from 1 to 8 of x^{-5/3} is 9/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 8 of x^{-5/3}

\int_{1}^{8} x^{- \frac{5}{3}} d x

\frac{9}{8}

Decimal Notation

1.125

Solution steps

\int_{1}^{8} x^{- \frac{5}{3}} d x

Apply the Power Rule

: [- \frac{3}{2 x ^{\frac{2}{3}}}]_{1}^{8}

= [- \frac{3}{2 x ^{\frac{2}{3}}}]_{1}^{8}

Compute the boundaries:

\frac{9}{8}

= \frac{9}{8}

e^{x} (7 - 5 x + 3 x^{2}), at x = 0

\int 6 sec^{6} (x) d x

h (x) = (\frac{2}{x} - 3) (x^{2} + 7)

x \to 0 lim (ln (\frac{1 + x}{x}))

\int (x^{2} cos (x)) d x

What is the integral from 1 to 8 of x^{-5/3} ?
The integral from 1 to 8 of x^{-5/3} is 9/8