What is the integral from-2 to 5 of 4x^3 ?

The integral from-2 to 5 of 4x^3 is 609

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integral from-2 to 5 of 4x^3

\int_{- 2}^{5} 4 x^{3} d x

609

Solution steps

\int_{- 2}^{5} 4 x^{3} d x

Take the constant out:

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

= 4 \cdot \int_{- 2}^{5} x^{3} d x

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{- 2}^{5}

= 4 [\frac{x ^{4}}{4}]_{- 2}^{5}

Compute the boundaries:

\frac{609}{4}

= 4 \cdot \frac{609}{4}

Simplify

= 609

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What is the integral from-2 to 5 of 4x^3 ?
The integral from-2 to 5 of 4x^3 is 609