What is the integral from 1 to 5 of-x ?

The integral from 1 to 5 of-x is -12

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integral from 1 to 5 of-x

\int_{1}^{5} - x d x

- 12

Solution steps

\int_{1}^{5} - x d x

Take the constant out:

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

= - \int_{1}^{5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{1}^{5}

= - [\frac{x ^{2}}{2}]_{1}^{5}

Compute the boundaries:

12

= - 12

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