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

The integral from 2 to 9 of 3x^2 is 721

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integral from 2 to 9 of 3x^2

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

721

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{2}^{9}

= 3 [\frac{x ^{3}}{3}]_{2}^{9}

Compute the boundaries:

\frac{721}{3}

= 3 \cdot \frac{721}{3}

Simplify

= 721

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What is the integral from 2 to 9 of 3x^2 ?
The integral from 2 to 9 of 3x^2 is 721