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Popular Calculus >

integral of 5x 3/2

Solution

\int 5 x \frac{3}{2} d x

Solution

\frac{15 x ^{2}}{4} + C

Solution steps

\int 5 x \frac{3}{2} d x

Take the constant out:

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

= 5 \cdot \frac{3}{2} \cdot \int x d x

5 \cdot \frac{3}{2} = \frac{15}{2}

= \frac{15}{2} \cdot \int x d x

Apply the Power Rule

= \frac{15}{2} \cdot \frac{x ^{2}}{2}

Simplify

\frac{15}{2} \cdot \frac{x ^{2}}{2} : \frac{15 x ^{2}}{4}

= \frac{15 x ^{2}}{4}

Add a constant to the solution

= \frac{15 x ^{2}}{4} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 5x 3/2 ?
The integral of 5x 3/2 is (15x^2)/4+C