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Popular >

integral of 18x^3

Solution

\int 18 x^{3} d x

Solution

\frac{9 x ^{4}}{2} + C

Solution steps

\int 18 x^{3} d x

Take the constant out:

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

= 18 \cdot \int x^{3} d x

Apply the Power Rule

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

= 18 \cdot \frac{x ^{4}}{4}

Simplify

18 \cdot \frac{x ^{4}}{4} : \frac{9 x ^{4}}{2}

= \frac{9 x ^{4}}{2}

Add a constant to the solution

= \frac{9 x ^{4}}{2} + C

Graph

Popular Examples

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

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\int (\frac{x ^{3} + 4 x ^{2} + 8 x + 5}{x ^{2} + 2 x + 1}) d x

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

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

integral of 4e^{-1/2 x}

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

Frequently Asked Questions (FAQ)

What is the integral of 18x^3 ?
The integral of 18x^3 is (9x^4)/2+C