What is the integral from 1 to 9 of (15-3sqrt(x)) ?

The integral from 1 to 9 of (15-3sqrt(x)) is 68

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integral from 1 to 9 of (15-3sqrt(x))

\int_{1}^{9} (15 - 3 x) d x

68

Solution steps

\int_{1}^{9} 15 - 3 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_{1}^{9} 15 d x - \int_{1}^{9} 3 x d x

\int_{1}^{9} 15 d x = 120

\int_{1}^{9} 3 x d x = 52

= 120 - 52

Simplify

= 68

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What is the integral from 1 to 9 of (15-3sqrt(x)) ?
The integral from 1 to 9 of (15-3sqrt(x)) is 68