What is the integral of (x^4)/(x^2) ?

The integral of (x^4)/(x^2) is (x^3)/3+C

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integral of (x^4)/(x^2)

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

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

Solution steps

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

Simplify

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

= \int x^{2} d x

Apply the Power Rule

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

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

Add a constant to the solution

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

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