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Popular >

integral of x^3)

Solution

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

Solution

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

Solution steps

\int d 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

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\int \frac{8 x ^{3} + 4}{x ^{4} + 2 x} d x

Frequently Asked Questions (FAQ)

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