What is the integral from-5 to-10 of 1 ?

The integral from-5 to-10 of 1 is -5

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integral from-5 to-10 of 1

\int_{- 5}^{- 10} 1 d x

- 5

Solution steps

\int_{- 5}^{- 10} 1 d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{- 10}^{- 5} 1 d x

Integral of a constant:

\int a d x = a x

= - [1 \cdot x]_{- 10}^{- 5}

Simplify

= - [x]_{- 10}^{- 5}

Compute the boundaries:

5

= - 5

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