What is the integral from 1 to 4 of 2+3sqrt(x) ?

The integral from 1 to 4 of 2+3sqrt(x) is 20

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integral from 1 to 4 of 2+3sqrt(x)

\int_{1}^{4} 2 + 3 x d x

20

Solution steps

\int_{1}^{4} 2 + 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}^{4} 2 d x + \int_{1}^{4} 3 x d x

\int_{1}^{4} 2 d x = 6

\int_{1}^{4} 3 x d x = 14

= 6 + 14

Simplify

= 20

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What is the integral from 1 to 4 of 2+3sqrt(x) ?
The integral from 1 to 4 of 2+3sqrt(x) is 20