en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/(8x^7)

Solution

\int \frac{1}{8 x ^{7}} d x

Solution

- \frac{1}{48 x ^{6}} + C

Solution steps

\int \frac{1}{8 x ^{7}} d x

Take the constant out:

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

= \frac{1}{8} \cdot \int \frac{1}{x ^{7}} d x

Apply the Power Rule

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

= \frac{1}{8} (- \frac{1}{6 x ^{6}})

Simplify

\frac{1}{8} (- \frac{1}{6 x ^{6}}) : - \frac{1}{48 x ^{6}}

= - \frac{1}{48 x ^{6}}

Add a constant to the solution

= - \frac{1}{48 x ^{6}} + C

Popular Examples

(dy)/(dt)=0.28-((7y))/(1000)

\frac{d y}{d t} = 0.28 - \frac{( 7 y )}{1000}

derivative of (x^3/(x^4+1))

\frac{d}{d x} (\frac{x ^{3}}{x ^{4} + 1})

integral of ((2-x)^3)/3

\int \frac{( 2 - x ) ^{3}}{3} d x

derivative of sin(x+5/2)derivative of

sin (x + \frac{5}{2})

(dy)/(dx)= 4/(x^2-1)

\frac{d y}{d x} = \frac{4}{x ^{2} - 1}

Frequently Asked Questions (FAQ)

What is the integral of 1/(8x^7) ?
The integral of 1/(8x^7) is -1/(48x^6)+C