What is the integral from-3 to 3 of 9x^2 ?

The integral from-3 to 3 of 9x^2 is 162

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integral from-3 to 3 of 9x^2

\int_{- 3}^{3} 9 x^{2} d x

162

Solution steps

\int_{- 3}^{3} 9 x^{2} d x

Take the constant out:

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

= 9 \cdot \int_{- 3}^{3} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{- 3}^{3}

= 9 [\frac{x ^{3}}{3}]_{- 3}^{3}

Compute the boundaries:

18

= 9 \cdot 18

Simplify

= 162

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What is the integral from-3 to 3 of 9x^2 ?
The integral from-3 to 3 of 9x^2 is 162