What is the integral of (x^4)/(x^3) ?

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

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integral of (x^4)/(x^3)

\int \frac{x ^{4}}{x ^{3}} d x

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

Solution steps

\int \frac{x ^{4}}{x ^{3}} d x

Simplify

\frac{x ^{4}}{x ^{3}} : x

= \int x d x

Apply the Power Rule

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

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

Add a constant to the solution

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

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