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Popular >

integral of 1 (x^3)

Solution

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

Solution

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

Solution steps

\int \frac{d}{1} x^{3} d x

Take the constant out:

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

= d \cdot \int x^{3} d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (2x-2)^3

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

integral of ue^{uv}

\int u e^{uv} d v

integral of 9/(xsqrt(x^2-4))

\int \frac{9}{x x ^{2} - 4} d x

integral of 4x(2x^2+7)^7

\int 4 x (2 x^{2} + 7)^{7} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of 1 (x^3) ?
The integral of 1 (x^3) is (dx^4)/4+C