What is the integral from 100 to 200 of 12.5-0.02x ?

The integral from 100 to 200 of 12.5-0.02x is 950

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integral from 100 to 200 of 12.5-0.02x

\int_{100}^{200} 12.5 - 0.02 x d x

950

Solution steps

\int_{100}^{200} 12.5 - 0.02 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_{100}^{200} 12.5 d x - \int_{100}^{200} 0.02 x d x

\int_{100}^{200} 12.5 d x = 1250

\int_{100}^{200} 0.02 x d x = 300

= 1250 - 300

Simplify

= 950

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What is the integral from 100 to 200 of 12.5-0.02x ?
The integral from 100 to 200 of 12.5-0.02x is 950