What is the integral from 3 to 1 of 7 ?

The integral from 3 to 1 of 7 is -14

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integral from 3 to 1 of 7

\int_{3}^{1} 7 d x

- 14

Solution steps

\int_{3}^{1} 7 d x

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

= - \int_{1}^{3} 7 d x

Integral of a constant:

\int a d x = a x

= - [7 x]_{1}^{3}

Compute the boundaries:

14

= - 14

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