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

Popular >

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{1}{30 x ^{30}}

= - \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

\int \frac{3}{x ln ( 7 x )} d x

\int 5^{x^{4}} x^{3} d x

\int \frac{5}{2 x + 1} d x

\int - x^{2} + 5 x - 6 d x

\int \frac{3 e ^{x}}{1 + e ^{x}} d x

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