en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x2x

Solution

\int x d^{2} x d x

Solution

\frac{d ^{2} x ^{3}}{3} + C

Solution steps

\int x d^{2} x d x

Take the constant out:

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

= d^{2} \cdot \int xx d x

Simplify

xx : x^{2}

= d^{2} \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= d^{2} \frac{x ^{3}}{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{d ^{2} x ^{3}}{3}

Add a constant to the solution

= \frac{d ^{2} x ^{3}}{3} + C

Popular Examples

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

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

integral of x/(cos^2(2x^2))

\int \frac{x}{cos ^{2} ( 2 x ^{2} )} d x

integral of sqrt(1+(3/2 \sqrt{x))^2}

\int 1 + (\frac{3}{2} x)^{2} d x

integral of ysin(2x)

\int y sin (2 x) d x

integral of (x^2+1)sin(x^3+3x)

\int (x^{2} + 1) sin (x^{3} + 3 x) d x

Frequently Asked Questions (FAQ)

What is the integral of x2x ?
The integral of x2x is (d^2x^3)/3+C