en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of xlx

Solution

\int x l x d x

Solution

\frac{l x ^{3}}{3} + C

Solution steps

\int x l x d x

Take the constant out:

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

= l \cdot \int xx d x

Simplify

xx : x^{2}

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

Apply the Power Rule

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

= l \frac{x ^{3}}{3}

Multiply fractions:

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

= \frac{l x ^{3}}{3}

Add a constant to the solution

= \frac{l x ^{3}}{3} + C

Popular Examples

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

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

integral of 2(1+x)

\int 2 (1 + x) d x

integral of sec(x)(sec(x)+tan(x))integral

sec (x) (sec (x) + tan (x))

integral of 1/(4x-4x^2)

\int \frac{1}{4 x - 4 x ^{2}} d x

integral of (sqrt(x-7))/(x+6)

\int \frac{x - 7}{x + 6} d x

Frequently Asked Questions (FAQ)

What is the integral of xlx ?
The integral of xlx is (lx^3)/3+C