What is the integral from 4 to-4 of 1 ?

The integral from 4 to-4 of 1 is -8

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integral from 4 to-4 of 1

\int_{4}^{- 4} 1

- 8

Solution steps

\int_{4}^{- 4} 1 d x

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

= - \int_{- 4}^{4} 1 d x

Integral of a constant:

\int a d x = a x

= - [1 \cdot x]_{- 4}^{4}

Simplify

= - [x]_{- 4}^{4}

Compute the boundaries:

8

= - 8

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\int_{0}^{1} (1 - 4 x) d x

\int_{0}^{2 π} (1 - sin (x))^{2} d x

\int_{3 + 4 x}^{5 x} 1 d x