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Popular >

integral of 15/4 x^2

Solution

\int \frac{15}{4} x^{2} d x

Solution

\frac{5 x ^{3}}{4} + C

Solution steps

\int \frac{15}{4} x^{2} d x

Take the constant out:

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

= \frac{15}{4} \cdot \int x^{2} d x

Apply the Power Rule

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

= \frac{15}{4} \cdot \frac{x ^{3}}{3}

Simplify

\frac{15}{4} \cdot \frac{x ^{3}}{3} : \frac{5 x ^{3}}{4}

= \frac{5 x ^{3}}{4}

Add a constant to the solution

= \frac{5 x ^{3}}{4} + C

Graph

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Frequently Asked Questions (FAQ)

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