What is the integral from-1 to 0 of 2x ?

The integral from-1 to 0 of 2x is -1

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integral from-1 to 0 of 2x

\int_{- 1}^{0} 2 x d x

- 1

Solution steps

\int_{- 1}^{0} 2 x d x

Take the constant out:

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

= 2 \cdot \int_{- 1}^{0} x d x

Apply the Power Rule

= 2 [\frac{x ^{2}}{2}]_{- 1}^{0}

Compute the boundaries:

- \frac{1}{2}

= 2 (- \frac{1}{2})

Simplify

= - 1