What is the integral from 0 to 5000 of (150-0.03x) ?

The integral from 0 to 5000 of (150-0.03x) is 375000

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integral from 0 to 5000 of (150-0.03x)

\int_{0}^{5000} (150 - 0.03 x) d x

375000

Solution steps

\int_{0}^{5000} 150 - 0.03 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_{0}^{5000} 150 d x - \int_{0}^{5000} 0.03 x d x

\int_{0}^{5000} 150 d x = 750000

\int_{0}^{5000} 0.03 x d x = 375000

= 750000 - 375000

Simplify

= 375000

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What is the integral from 0 to 5000 of (150-0.03x) ?
The integral from 0 to 5000 of (150-0.03x) is 375000