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^6

Solution

\int 8 x^{6} d x

Solution

\frac{8 x ^{7}}{7} + C

Solution steps

\int 8 x^{6} d x

Take the constant out:

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

= 8 \cdot \int x^{6} d x

Apply the Power Rule

= 8 \cdot \frac{x ^{7}}{7}

Multiply fractions:

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

= \frac{8 x ^{7}}{7}

Add a constant to the solution

= \frac{8 x ^{7}}{7} + C

Graph

Popular Examples

integral of 4/(3-2x)

integral of 1/(sqrt(2x+1)-\sqrt{x)}

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

integral of cos(x)cos(6sin(x))

integral of (e^{-x})/(1+x)

Frequently Asked Questions (FAQ)

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