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Popular Calculus >

integral of (3x^2)/2

Solution

\int \frac{3 x ^{2}}{2} d x

Solution

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

Solution steps

\int \frac{3 x ^{2}}{2} d x

Take the constant out:

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

= \frac{3}{2} \cdot \int x^{2} d x

Apply the Power Rule

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

Simplify

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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