en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-24x^5

Solution

\int - 24 x^{5} d x

Solution

- 4 x^{6} + C

Solution steps

\int - 24 x^{5} d x

Take the constant out:

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

= - 24 \cdot \int x^{5} d x

Apply the Power Rule

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

= - 24 \cdot \frac{x ^{6}}{6}

Simplify

- 24 \cdot \frac{x ^{6}}{6} : - 4 x^{6}

= - 4 x^{6}

Add a constant to the solution

= - 4 x^{6} + C

Graph

Popular Examples

integral of (x^2+sec^2(x))

\int (x^{2} + sec^{2} (x)) d x

sum from n=0 to infinity of 0.74^n

n = 0 \sum \infty 0.7 4^{n}

limit as x approaches 3 of (2+x)/(3-x)

x \to 3 lim (\frac{2 + x}{3 - x})

integral of 1/(xsqrt(ln(3x)))

\int \frac{1}{x ln ( 3 x )} d x

integral of sqrt((5+x)/(5-x))

\int \frac{5 + x}{5 - x} d x

Frequently Asked Questions (FAQ)

What is the integral of-24x^5 ?
The integral of-24x^5 is -4x^6+C