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Popular >

integral of (9x^2)/2

Solution

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

Solution

\frac{3 x ^{3}}{2} + C

Solution steps

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

Take the constant out:

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

= \frac{9}{2} \cdot \int x^{2} d x

Apply the Power Rule

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

= \frac{9}{2} \cdot \frac{x ^{3}}{3}

Simplify

\frac{9}{2} \cdot \frac{x ^{3}}{3} : \frac{3 x ^{3}}{2}

= \frac{3 x ^{3}}{2}

Add a constant to the solution

= \frac{3 x ^{3}}{2} + C

Graph

Popular Examples

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\int \frac{3 x ^{2} - 7 x - 24}{x - 2} d x

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

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\int \frac{A}{M A - A ^{2}}

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\int 4 arctan (2 x) d x

integral of \sqrt[5]{x^7}

\int 5 x^{7} d x

Frequently Asked Questions (FAQ)

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