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

The integral from 0 to 1 of (-x) is -1/2

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integral from 0 to 1 of (-x)

\int_{0}^{1} (- x) d x

- \frac{1}{2}

Decimal

- 0.5

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

Compute the boundaries:

\frac{1}{2}

= - \frac{1}{2}

What is the integral from 0 to 1 of (-x) ?
The integral from 0 to 1 of (-x) is -1/2