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Popular Calculus >

integral from-5 to 8 of (10-5x)

Solution

\int_{- 5}^{8} (10 - 5 x) d x

Solution

\frac{65}{2}

+1

Decimal

32.5

Solution steps

\int_{- 5}^{8} 10 - 5 x d x

Apply the Sum Rule:

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

= \int_{- 5}^{8} 10 d x - \int_{- 5}^{8} 5 x d x

\int_{- 5}^{8} 10 d x = 130

\int_{- 5}^{8} 5 x d x = \frac{195}{2}

= 130 - \frac{195}{2}

Simplify

130 - \frac{195}{2} : \frac{65}{2}

= \frac{65}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-5 to 8 of (10-5x) ?
The integral from-5 to 8 of (10-5x) is 65/2