What is the integral from-0.5 to 4.5 of x^3 ?

The integral from-0.5 to 4.5 of x^3 is 102.5

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integral from-0.5 to 4.5 of x^3

\int_{- 0.5}^{4.5} x^{3} d x

102.5

Solution steps

\int_{- 0.5}^{4.5} x^{3} d x

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{- 0.5}^{4.5}

= [\frac{x ^{4}}{4}]_{- 0.5}^{4.5}

Simplify

= [0.25 x^{4}]_{- 0.5}^{4.5}

Compute the boundaries:

102.5

= 102.5

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What is the integral from-0.5 to 4.5 of x^3 ?
The integral from-0.5 to 4.5 of x^3 is 102.5