What is the integral of (-2)/(x^6) ?

The integral of (-2)/(x^6) is 2/(5x^5)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (-2)/(x^6)

\int \frac{- 2}{x ^{6}} d x

\frac{2}{5 x ^{5}} + C

Solution steps

\int \frac{- 2}{x ^{6}} d x

Take the constant out:

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

= - 2 \cdot \int \frac{1}{x ^{6}} d x

Apply the Power Rule

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

= - 2 (- \frac{1}{5 x ^{5}})

Simplify

- 2 (- \frac{1}{5 x ^{5}}) : \frac{2}{5 x ^{5}}

= \frac{2}{5 x ^{5}}

Add a constant to the solution

= \frac{2}{5 x ^{5}} + C

f (x) = \frac{7 x}{x + 7}, (3, 2.1)

n = 1 \sum \infty (\frac{1}{3})^{n - 1}

\int x 144 - x^{2} d x

\int 3 x e - 2 x d x

\int \frac{y ^{2} - 2 y + 4}{y ( y - 2 ) ^{2}} d y