en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (x^6)/3

Solution

\int \frac{x ^{6}}{3} d x

Solution

\frac{x ^{7}}{21} + C

Solution steps

\int \frac{x ^{6}}{3} d x

Take the constant out:

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

= \frac{1}{3} \cdot \int x^{6} d x

Apply the Power Rule

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

= \frac{1}{3} \cdot \frac{x ^{7}}{7}

Simplify

\frac{1}{3} \cdot \frac{x ^{7}}{7} : \frac{x ^{7}}{21}

= \frac{x ^{7}}{21}

Add a constant to the solution

= \frac{x ^{7}}{21} + C

Popular Examples

integral of e^{-x^2+2}

\int e^{- x^{2} + 2} d x

integral of (sqrt(x-1))/(x+2)

\int \frac{x - 1}{x + 2} d x

integral of (4x^2+x+3)

\int (4 x^{2} + x + 3) d x

integral of sqrt(x^2-5)

\int x^{2} - 5 d x

integral of ((ln(x))^6+1)/x

\int \frac{( ln ( x ) ) ^{6} + 1}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of (x^6)/3 ?
The integral of (x^6)/3 is (x^7)/(21)+C