What is the integral of (x/6)^6 ?

The integral of (x/6)^6 is (x^7)/(326592)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (x/6)^6

\int (\frac{x}{6})^{6} d x

\frac{x ^{7}}{326592} + C

Solution steps

\int (\frac{x}{6})^{6} d x

Simplify

(\frac{x}{6})^{6} : \frac{x ^{6}}{46656}

= \int \frac{x ^{6}}{46656} d x

Take the constant out:

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

= \frac{1}{46656} \cdot \int x^{6} d x

Apply the Power Rule

: \frac{x ^{7}}{7}

= \frac{1}{46656} \cdot \frac{x ^{7}}{7}

Simplify

\frac{1}{46656} \cdot \frac{x ^{7}}{7} : \frac{x ^{7}}{326592}

= \frac{x ^{7}}{326592}

Add a constant to the solution

= \frac{x ^{7}}{326592} + C

\frac{d}{d z} (4 - z)

\frac{d}{d x} (ln (\frac{x + 3}{x ^{2}}))

y^{^{''}} + 2 y^{^{'}} = sin (2 t)

n = 1 \sum \infty \frac{3 n}{n + 2}

\int x^{3} \cdot sin (3 x) d x