en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sqrt(x^6)

Solution

\int x^{6} d x

Solution

\frac{x ^{4}}{4} + C

Solution steps

\int x^{6} d x

x^{6} = x^{3},

assuming

x \geq 0

= \int x^{3} d x

Apply the Power Rule

: \frac{x ^{4}}{4}

= \frac{x ^{4}}{4}

Add a constant to the solution

= \frac{x ^{4}}{4} + C

Graph

Popular Examples

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

\int \frac{1}{( 2 x )} d x

integral of (4x-5)(2x+1)

\int (4 x - 5) (2 x + 1) d x

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

\int \frac{- x + 1}{2 ( x ^{2} + 1 )} d x

integral of x^2(x^3-4)^5

\int x^{2} (x^{3} - 4)^{5} d x

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

\int \frac{2 x - 1}{x ^{2} ( x + 1 )} d x

Frequently Asked Questions (FAQ)

What is the integral of sqrt(x^6) ?
The integral of sqrt(x^6) is (x^4)/4+C