What is the integral from 0 to 25 of 85-3sqrt(25-x) ?

The integral from 0 to 25 of 85-3sqrt(25-x) is 1875

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integral from 0 to 25 of 85-3sqrt(25-x)

\int_{0}^{25} 85 - 3 25 - x d x

1875

Solution steps

\int_{0}^{25} 85 - 3 25 - 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}^{25} 85 d x - \int_{0}^{25} 3 25 - x d x

\int_{0}^{25} 85 d x = 2125

\int_{0}^{25} 3 25 - x d x = 250

= 2125 - 250

Simplify

= 1875

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What is the integral from 0 to 25 of 85-3sqrt(25-x) ?
The integral from 0 to 25 of 85-3sqrt(25-x) is 1875