What is the integral from 3 to 4 of-6x ?

The integral from 3 to 4 of-6x is -21

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integral from 3 to 4 of-6x

\int_{3}^{4} - 6 x d x

- 21

Solution steps

\int_{3}^{4} - 6 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 6 \cdot \int_{3}^{4} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{3}^{4}

= - 6 [\frac{x ^{2}}{2}]_{3}^{4}

Compute the boundaries:

\frac{7}{2}

= - 6 \cdot \frac{7}{2}

Simplify

= - 21

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