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

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

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integral from 0 to-1 of 1

\int_{0}^{- 1} 1

- 1

Solution steps

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

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

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

Integral of a constant:

\int a d x = a x

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

Simplify

= - [x]_{- 1}^{0}

Compute the boundaries:

1

= - 1

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