en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 6x^5

Solution

\int 6 x^{5} d x

Solution

x^{6} + C

Solution steps

\int 6 x^{5} d x

Take the constant out:

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

= 6 \cdot \int x^{5} d x

Apply the Power Rule

= 6 \cdot \frac{x ^{6}}{6}

Simplify

6 \cdot \frac{x ^{6}}{6} : x^{6}

= x^{6}

Add a constant to the solution

= x^{6} + C

Graph

Popular Examples

derivative of (7x^2/(4e^x-x))

(\partial)/(\partial y)(e^{xyz^3}yz^3)

integral of 6/(x^2sqrt(x^2-9))

derivative of (t^2+1)/(t^2-1)

taylor xe^{-x^2}

Frequently Asked Questions (FAQ)

What is the integral of 6x^5 ?
The integral of 6x^5 is x^6+C