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Popular >

integral of 27x^{26}

Solution

\int 27 x^{26} d x

Solution

x^{27} + C

Solution steps

\int 27 x^{26} d x

Take the constant out:

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

= 27 \cdot \int x^{26} d x

Apply the Power Rule

: \frac{x ^{27}}{27}

= 27 \cdot \frac{x ^{27}}{27}

Simplify

27 \cdot \frac{x ^{27}}{27} : x^{27}

= x^{27}

Add a constant to the solution

= x^{27} + C

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Frequently Asked Questions (FAQ)

What is the integral of 27x^{26} ?
The integral of 27x^{26} is x^{27}+C