What is the integral of-5/3 x^{-31} ?

The integral of-5/3 x^{-31} is 1/(18x^{30)}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of-5/3 x^{-31}

\int - \frac{5}{3} x^{- 31} d x

\frac{1}{18 x ^{30}} + C

Solution steps

\int - \frac{5}{3} x^{- 31} d x

Take the constant out:

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

= - \frac{5}{3} \cdot \int x^{- 31} d x

Apply the Power Rule

= - \frac{5}{3} (- \frac{1}{30 x ^{30}})

Simplify

- \frac{5}{3} (- \frac{1}{30 x ^{30}}) : \frac{1}{18 x ^{30}}

= \frac{1}{18 x ^{30}}

Add a constant to the solution

= \frac{1}{18 x ^{30}} + C

What is the integral of-5/3 x^{-31} ?
The integral of-5/3 x^{-31} is 1/(18x^{30)}+C