en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 6x^{-7}

Solution

\int 6 x^{- 7} d x

Solution

- \frac{1}{x ^{6}} + C

Solution steps

\int 6 x^{- 7} d x

Take the constant out:

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

= 6 \cdot \int x^{- 7} d x

Apply the Power Rule

= 6 (- \frac{1}{6 x ^{6}})

Simplify

6 (- \frac{1}{6 x ^{6}}) : - \frac{1}{x ^{6}}

= - \frac{1}{x ^{6}}

Add a constant to the solution

= - \frac{1}{x ^{6}} + C

Graph

Popular Examples

derivative of f(x)=(1+4x^2)(x-x^2)

d er i v a t i v e f (x) = (1 + 4 x^{2}) (x - x^{2})

tangent of y=(1+2x)^9

t an g e n t y = (1 + 2 x)^{9}

derivative of 2x^{1/2}

d er i v a t i v e 2 x^{\frac{1}{2}}

(\partial)/(\partial y)(x^3-xy+y^3)

\frac{\partial}{\partial y} (x^{3} - x y + y^{3})

integral from 0 to 4 of x(4x-x^2)

\int_{0}^{4} x (4 x - x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral of 6x^{-7} ?
The integral of 6x^{-7} is -1/(x^6)+C