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Popular Calculus >

integral of-3/2 x

Solution

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

Solution

- \frac{3 x ^{2}}{4} + C

Solution steps

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

Apply the Power Rule

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

Simplify

- \frac{3}{2} \cdot \frac{x ^{2}}{2} : - \frac{3 x ^{2}}{4}

= - \frac{3 x ^{2}}{4}

Add a constant to the solution

= - \frac{3 x ^{2}}{4} + C

Graph

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Frequently Asked Questions (FAQ)

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