en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x*x^{20}

Solution

\int x \cdot x^{20} d x

Solution

\frac{x ^{22}}{22} + C

Solution steps

\int x x^{20} d x

Simplify

x x^{20} : x^{21}

= \int x^{21} d x

Apply the Power Rule

: \frac{x ^{22}}{22}

= \frac{x ^{22}}{22}

Add a constant to the solution

= \frac{x ^{22}}{22} + C

Popular Examples

laplacetransform t^2e^{-2t}laplace transform

t^{2} e^{- 2 t}

limit as x approaches 0 of e^0cos(4)(0)

x \to 0 lim (e^{0} cos (4) (0))

limit as x approaches 3 of 4e^{x-3}

x \to 3 lim (4 e^{x - 3})

limit as t approaches 0 of e^{2t}

t \to 0 lim (e^{2 t})

derivative of x^2-sin^2(x)

\frac{d}{d x} (x^{2} - sin^{2} (x))

Frequently Asked Questions (FAQ)

What is the integral of x*x^{20} ?
The integral of x*x^{20} is (x^{22})/(22)+C