What is the integral from-2 to 0 of 11/6 x^3 ?

The integral from-2 to 0 of 11/6 x^3 is -22/3

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integral from-2 to 0 of 11/6 x^3

\int_{- 2}^{0} \frac{11}{6} x^{3} d x

- \frac{22}{3}

Decimal

- 7.33333 \dots

Solution steps

\int_{- 2}^{0} \frac{11}{6} x^{3} d x

Take the constant out:

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

= \frac{11}{6} \cdot \int_{- 2}^{0} x^{3} d x

Apply the Power Rule

= \frac{11}{6} [\frac{x ^{4}}{4}]_{- 2}^{0}

Compute the boundaries:

- 4

= \frac{11}{6} (- 4)

Simplify

= - \frac{22}{3}

What is the integral from-2 to 0 of 11/6 x^3 ?
The integral from-2 to 0 of 11/6 x^3 is -22/3