en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 8x^8

Solution

\int 8 x^{8} d x

Solution

\frac{8 x ^{9}}{9} + C

Solution steps

\int 8 x^{8} d x

Take the constant out:

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

= 8 \cdot \int x^{8} d x

Apply the Power Rule

= 8 \cdot \frac{x ^{9}}{9}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{8 x ^{9}}{9}

Add a constant to the solution

= \frac{8 x ^{9}}{9} + C

Graph

Popular Examples

integral of x^2\sqrt[3]{x-5}

integral of 2/(5+9x^2)

integral of 5x^{-9}

integral of 9/(cos(θ)-1)

integral of (7x-5)/(9x^2+4)

Frequently Asked Questions (FAQ)

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