en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

= - 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

Popular Examples

(\partial)/(\partial y)(sqrt(x+2)-y)

\frac{\partial}{\partial y} (x + 2 - y)

integral from 0 to 5 of 1/(x^{12/13)}

\int_{0}^{5} \frac{1}{x ^{\frac{12}{13}}} d x

area x^2-4,0,-4,3 area

x^{2} - 4, 0, - 4, 3

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

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

limit as x approaches 4-of 3(x)-5

x \to 4 - lim (3 (x) - 5)

Frequently Asked Questions (FAQ)

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