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Popular Calculus >

integral of 27x^2

Solution

\int 27 x^{2} d x

Solution

9 x^{3} + C

Solution steps

\int 27 x^{2} d x

Take the constant out:

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

= 27 \cdot \int x^{2} d x

Apply the Power Rule

= 27 \cdot \frac{x ^{3}}{3}

Simplify

27 \cdot \frac{x ^{3}}{3} : 9 x^{3}

= 9 x^{3}

Add a constant to the solution

= 9 x^{3} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 27x^2 ?
The integral of 27x^2 is 9x^3+C