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

Popular Examples

integral of 2sqrt(x)ln(x)

\int 2 x ln (x) d x

derivative of cos(4e^{-8x})

\frac{d}{d x} (cos (4 e^{- 8 x}))

tangent of f(x)=x+2/x ,(2,3)tangent of

f (x) = x + \frac{2}{x}, (2, 3)

derivative of 1/((1+x^2)^2)derivative of

\frac{1}{( 1 + x ^{2} ) ^{2}}

tangent of (sqrt(x)+1)/(sqrt(x)+7)tangent of

\frac{x + 1}{x + 7}

Frequently Asked Questions (FAQ)

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