What is the integral from 3 to 5 of-5t ?

The integral from 3 to 5 of-5t is -40

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integral from 3 to 5 of-5t

\int_{3}^{5} - 5 t d t

- 40

Solution steps

\int_{3}^{5} - 5 t d t

Take the constant out:

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

= - 5 \cdot \int_{3}^{5} t d t

Apply the Power Rule

: [\frac{t ^{2}}{2}]_{3}^{5}

= - 5 [\frac{t ^{2}}{2}]_{3}^{5}

Compute the boundaries:

8

= - 5 \cdot 8

Simplify

= - 40

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