What is the integral from 5 to 1 of 1 ?

The integral from 5 to 1 of 1 is -4

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integral from 5 to 1 of 1

\int_{5}^{1} 1

- 4

Solution steps

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

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

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

Integral of a constant:

\int a d x = a x

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

Simplify

= - [x]_{1}^{5}

Compute the boundaries:

4

= - 4

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