en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 2/(x^8)

Solution

\int \frac{2}{x ^{8}} d x

Solution

- \frac{2}{7 x ^{7}} + C

Solution steps

\int \frac{2}{x ^{8}} 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 ^{8}} d x

Apply the Power Rule

= 2 (- \frac{1}{7 x ^{7}})

Simplify

2 (- \frac{1}{7 x ^{7}}) : - \frac{2}{7 x ^{7}}

= - \frac{2}{7 x ^{7}}

Add a constant to the solution

= - \frac{2}{7 x ^{7}} + C

Graph

Popular Examples

integral of 1/((x+2)^2+1)

integral of e^{x^6}x^5

integral of (2x-1/(x^2))^3

integral of (7x^2+2sqrt(x)+1/(x^3))

integral of e^{1+2x}

Frequently Asked Questions (FAQ)

What is the integral of 2/(x^8) ?
The integral of 2/(x^8) is -2/(7x^7)+C