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Popular Calculus >

integral of 12x^{11}

Solution

\int 12 x^{11} d x

Solution

x^{12} + C

Solution steps

\int 12 x^{11} d x

Take the constant out:

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

= 12 \cdot \int x^{11} d x

Apply the Power Rule

= 12 \cdot \frac{x ^{12}}{12}

Simplify

12 \cdot \frac{x ^{12}}{12} : x^{12}

= x^{12}

Add a constant to the solution

= x^{12} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 12x^{11} ?
The integral of 12x^{11} is x^{12}+C