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

The integral from-1 to 2 of 3sqrt(x)-3 is 4sqrt(2)+2i-9

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integral from-1 to 2 of 3sqrt(x)-3

\int_{- 1}^{2} 3 x - 3 d x

42 + 2 i - 9

Solution steps

\int_{- 1}^{2} 3 x - 3 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}^{2} 3 x d x - \int_{- 1}^{2} 3 d x

\int_{- 1}^{2} 3 x d x = 42 + 2 i

\int_{- 1}^{2} 3 d x = 9

= 42 + 2 i - 9

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What is the integral from-1 to 2 of 3sqrt(x)-3 ?
The integral from-1 to 2 of 3sqrt(x)-3 is 4sqrt(2)+2i-9