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Popular >

integral from 5 to 1 of 8x-16

Solution

\int_{5}^{1} 8 x - 16 d x

Solution

- 32

Solution steps

\int_{5}^{1} 8 x - 16 d x

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

= - \int_{1}^{5} 8 x - 16 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_{1}^{5} 8 x d x - \int_{1}^{5} 16 d x)

\int_{1}^{5} 8 x d x = 96

\int_{1}^{5} 16 d x = 64

= - (96 - 64)

Simplify

= - 32

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 5 to 1 of 8x-16 ?
The integral from 5 to 1 of 8x-16 is -32