What is the integral from 5000 to 10000 of 48-0.12x ?

The integral from 5000 to 10000 of 48-0.12x is -4260000

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integral from 5000 to 10000 of 48-0.12x

\int_{5000}^{10000} 48 - 0.12 x d x

- 4260000

Solution steps

\int_{5000}^{10000} 48 - 0.12 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_{5000}^{10000} 48 d x - \int_{5000}^{10000} 0.12 x d x

\int_{5000}^{10000} 48 d x = 240000

\int_{5000}^{10000} 0.12 x d x = 4500000

= 240000 - 4500000

Simplify

= - 4260000

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What is the integral from 5000 to 10000 of 48-0.12x ?
The integral from 5000 to 10000 of 48-0.12x is -4260000