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Popular >

integral of x 1 (x)

Solution

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

Solution

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

Solution steps

\int x \frac{d}{1} x d x

Take the constant out:

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

= d \cdot \int xx d x

Simplify

xx : x^{2}

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

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

integral of (xe^x)/(sqrt(e^x-3))

\int \frac{x e ^{x}}{e ^{x} - 3} d x

integral of 1/(1+\sqrt[3]{ax-1)}

integral of (2x)/((x-1)(x+3)^2)

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

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

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

integral of x^2(x-4)

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

Frequently Asked Questions (FAQ)

What is the integral of x 1 (x) ?
The integral of x 1 (x) is (dx^3)/3+C