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

The integral from-2 to 3 of 3x^2 is 35

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integral from-2 to 3 of 3x^2

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

35

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{35}{3}

= 3 \cdot \frac{35}{3}

Simplify

= 35

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What is the integral from-2 to 3 of 3x^2 ?
The integral from-2 to 3 of 3x^2 is 35