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Popular Calculus >

integral of x^3 1/x

Solution

\int x^{3} \frac{1}{x} d x

Solution

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

Solution steps

\int x^{3} \frac{1}{x} d x

Simplify

x^{3} \frac{1}{x} : x^{2}

= \int x^{2} d x

Apply the Power Rule

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x^3 1/x ?
The integral of x^3 1/x is (x^3)/3+C