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^7)

Solution

\int \frac{2}{x ^{7}} d x

Solution

- \frac{1}{3 x ^{6}} + C

Solution steps

\int \frac{2}{x ^{7}} 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 ^{7}} d x

Apply the Power Rule

= 2 (- \frac{1}{6 x ^{6}})

Simplify

2 (- \frac{1}{6 x ^{6}}) : - \frac{1}{3 x ^{6}}

= - \frac{1}{3 x ^{6}}

Add a constant to the solution

= - \frac{1}{3 x ^{6}} + C

Graph

Popular Examples

integral of (sqrt(2)-sqrt(x))^2

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

integral of sin^4(t)cos(t)

\int sin^{4} (t) cos (t) d t

integral of 9sin(2x)

\int 9 sin (2 x) d x

integral of (4x^2+8)^2

\int (4 x^{2} + 8)^{2} d x

integral of (sin^5(x))

\int (sin^{5} (x)) d x

Frequently Asked Questions (FAQ)

What is the integral of 2/(x^7) ?
The integral of 2/(x^7) is -1/(3x^6)+C