en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 8x^7

Solution

\int 8 x^{7} d x

Solution

x^{8} + C

Solution steps

\int 8 x^{7} d x

Take the constant out:

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

= 8 \cdot \int x^{7} d x

Apply the Power Rule

: \frac{x ^{8}}{8}

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

Simplify

8 \cdot \frac{x ^{8}}{8} : x^{8}

= x^{8}

Add a constant to the solution

= x^{8} + C

Popular Examples

\frac{x ^{\frac{3}{2}}}{3}

inverse oflaplace (e^{-2s})/(s(3s+2))inverse laplace

\frac{e ^{- 2 s}}{s ( 3 s + 2 )}

(\partial)/(\partial y)(sqrt(y-x))

\frac{\partial}{\partial y} (y - x)

derivative of (x^2)/9 derivative of

\frac{x ^{2}}{9}

integral from 0 to 1 of x/(sqrt(x^2+1))

\int_{0}^{1} \frac{x}{x ^{2} + 1} d x

Frequently Asked Questions (FAQ)

What is the integral of 8x^7 ?
The integral of 8x^7 is x^8+C