en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5/(x^6)

Solution

\int \frac{5}{x ^{6}} d x

Solution

- \frac{1}{x ^{5}} + C

Solution steps

\int \frac{5}{x ^{6}} d x

Take the constant out:

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

= 5 \cdot \int \frac{1}{x ^{6}} d x

Apply the Power Rule

: - \frac{1}{5 x ^{5}}

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

Simplify

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

= - \frac{1}{x ^{5}}

Add a constant to the solution

= - \frac{1}{x ^{5}} + C

Popular Examples

derivative of ln((x+3^{-1}))

\frac{d}{d x} (ln ((x + 3)^{- 1}))

limit as x approaches 0 of (x^2+2x-1)/x

x \to 0 lim (\frac{x ^{2} + 2 x - 1}{x})

taylor sqrt(1-x^2)taylor

1 - x^{2}

limit as x approaches infinity of 9^{-x}

x \to \infty lim (9^{- x})

integral of (48x)/(8x^2+e)

\int \frac{48 x}{8 x ^{2} + e} d x

Frequently Asked Questions (FAQ)

What is the integral of 5/(x^6) ?
The integral of 5/(x^6) is -1/(x^5)+C