What is the integral of (14x^{13}) ?

The integral of (14x^{13}) is x^{14}+C

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integral of (14x^{13})

\int (14 x^{13}) d x

x^{14} + C

Solution steps

\int 14 x^{13} d x

Take the constant out:

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

= 14 \cdot \int x^{13} d x

Apply the Power Rule

= 14 \cdot \frac{x ^{14}}{14}

Simplify

14 \cdot \frac{x ^{14}}{14} : x^{14}

= x^{14}

Add a constant to the solution

= x^{14} + C

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