What is the integral from 10 to-6 of 1 ?

The integral from 10 to-6 of 1 is -16

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integral from 10 to-6 of 1

\int_{10}^{- 6} 1

- 16

Solution steps

\int_{10}^{- 6} 1 d x

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

= - \int_{- 6}^{10} 1 d x

Integral of a constant:

\int a d x = a x

= - [1 \cdot x]_{- 6}^{10}

Simplify

= - [x]_{- 6}^{10}

Compute the boundaries:

16

= - 16

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