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

The integral from-2 to 1 of (x^3+2x) is -27/4

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integral from-2 to 1 of (x^3+2x)

\int_{- 2}^{1} (x^{3} + 2 x) d x

- \frac{27}{4}

Decimal

- 6.75

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{- 2}^{1} x^{3} d x = - \frac{15}{4}

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

= - \frac{15}{4} - 3

Simplify

- \frac{15}{4} - 3 : - \frac{27}{4}

= - \frac{27}{4}

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What is the integral from-2 to 1 of (x^3+2x) ?
The integral from-2 to 1 of (x^3+2x) is -27/4