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Popular Calculus >

integral from 0 to 5 of (3t-8)

Solution

\int_{0}^{5} (3 t - 8) d t

Solution

- \frac{5}{2}

+1

Decimal

- 2.5

Solution steps

\int_{0}^{5} 3 t - 8 d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{5} 3 t d t - \int_{0}^{5} 8 d t

\int_{0}^{5} 3 t d t = \frac{75}{2}

\int_{0}^{5} 8 d t = 40

= \frac{75}{2} - 40

Simplify

\frac{75}{2} - 40 : - \frac{5}{2}

= - \frac{5}{2}

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of (3t-8) ?
The integral from 0 to 5 of (3t-8) is -5/2