What is the integral from-2 to 1 of 2x^3 ?

The integral from-2 to 1 of 2x^3 is -15/2

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integral from-2 to 1 of 2x^3

\int_{- 2}^{1} 2 x^{3} d x

- \frac{15}{2}

Decimal

- 7.5

Solution steps

\int_{- 2}^{1} 2 x^{3} d x

Take the constant out:

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

= 2 \cdot \int_{- 2}^{1} x^{3} d x

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{- 2}^{1}

= 2 [\frac{x ^{4}}{4}]_{- 2}^{1}

Compute the boundaries:

- \frac{15}{4}

= 2 (- \frac{15}{4})

Simplify

= - \frac{15}{2}

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What is the integral from-2 to 1 of 2x^3 ?
The integral from-2 to 1 of 2x^3 is -15/2