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Popular >

integral of 13x^{12}

Solution

\int 13 x^{12} d x

Solution

x^{13} + C

Solution steps

\int 13 x^{12} d x

Take the constant out:

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

= 13 \cdot \int x^{12} d x

Apply the Power Rule

: \frac{x ^{13}}{13}

= 13 \cdot \frac{x ^{13}}{13}

Simplify

13 \cdot \frac{x ^{13}}{13} : x^{13}

= x^{13}

Add a constant to the solution

= x^{13} + C

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Frequently Asked Questions (FAQ)

What is the integral of 13x^{12} ?
The integral of 13x^{12} is x^{13}+C