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Popular Calculus >

integral of (x^3)/a

Solution

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

Solution

\frac{x ^{4}}{4 a} + C

Solution steps

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

Take the constant out:

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

= \frac{1}{a} \cdot \int x^{3} d x

Apply the Power Rule

= \frac{1}{a} \cdot \frac{x ^{4}}{4}

Simplify

\frac{1}{a} \cdot \frac{x ^{4}}{4} : \frac{x ^{4}}{4 a}

= \frac{x ^{4}}{4 a}

Add a constant to the solution

= \frac{x ^{4}}{4 a} + C

Graph

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Frequently Asked Questions (FAQ)

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