en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/6 x^5

Solution

\int \frac{1}{6} x^{5} d x

Solution

\frac{x ^{6}}{36} + C

Solution steps

\int \frac{1}{6} x^{5} d x

Take the constant out:

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

= \frac{1}{6} \cdot \int x^{5} d x

Apply the Power Rule

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

= \frac{1}{6} \cdot \frac{x ^{6}}{6}

Simplify

\frac{1}{6} \cdot \frac{x ^{6}}{6} : \frac{x ^{6}}{36}

= \frac{x ^{6}}{36}

Add a constant to the solution

= \frac{x ^{6}}{36} + C

Popular Examples

integral of cos(x-pi/2)

\int cos (x - \frac{π}{2}) d x

integral of 40-2/(sec(θ))

\int 40 - \frac{2}{sec ( θ )} d θ

integral of 4x^8

\int 4 x^{8} d x

integral of 2sqrt(x+2)

\int 2 x + 2 d x

integral of (2sqrt(ln(x)))/x

\int \frac{2 ln ( x )}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/6 x^5 ?
The integral of 1/6 x^5 is (x^6)/(36)+C