en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (2x^5)

Solution

\int (2 x^{5}) d x

Solution

\frac{x ^{6}}{3} + C

Solution steps

\int 2 x^{5} d x

Take the constant out:

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

= 2 \cdot \int x^{5} d x

Apply the Power Rule

= 2 \cdot \frac{x ^{6}}{6}

Simplify

2 \cdot \frac{x ^{6}}{6} : \frac{x ^{6}}{3}

= \frac{x ^{6}}{3}

Add a constant to the solution

= \frac{x ^{6}}{3} + C

Graph

Popular Examples

(xdy)/(dx)+y=-8xy^2,y(1)=5

integral of (x+1)/(x^2+2x-3)

limit as x approaches-1-of x^3-3

derivative of 3ax^2+2bx+c

Frequently Asked Questions (FAQ)

What is the integral of (2x^5) ?
The integral of (2x^5) is (x^6)/3+C