en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 9/(x^8)

Solution

\int \frac{9}{x ^{8}} d x

Solution

- \frac{9}{7 x ^{7}} + C

Solution steps

\int \frac{9}{x ^{8}} d x

Take the constant out:

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

= 9 \cdot \int \frac{1}{x ^{8}} d x

Apply the Power Rule

: - \frac{1}{7 x ^{7}}

= 9 (- \frac{1}{7 x ^{7}})

Simplify

9 (- \frac{1}{7 x ^{7}}) : - \frac{9}{7 x ^{7}}

= - \frac{9}{7 x ^{7}}

Add a constant to the solution

= - \frac{9}{7 x ^{7}} + C

Graph

Popular Examples

integral from 0 to 10 of |x^2-8x+7|

\int_{0}^{10} x^{2} - 8 x + 7 d x

(\partial)/(\partial y)(7x+5y)

\frac{\partial}{\partial y} (7 x + 5 y)

integral of 1/(sqrt(x)+\sqrt[3]{x)}

\int \frac{1}{x + 3 x} d x

(\partial)/(\partial x)(4xcos(5xy))

\frac{\partial}{\partial x} (4 x cos (5 x y))

laplacetransform t^3*e^{-3t}laplace transform

t^{3} \cdot e^{- 3 t}

Frequently Asked Questions (FAQ)

What is the integral of 9/(x^8) ?
The integral of 9/(x^8) is -9/(7x^7)+C