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

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

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integral from-1 to 2 of-x

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

- \frac{3}{2}

Decimal

- 1.5

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{3}{2}

= - \frac{3}{2}

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