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Popular >

integral from 0 to 3 of 3x^2-3

Solution

\int_{0}^{3} 3 x^{2} - 3 d x

Solution

18

Solution steps

\int_{0}^{3} 3 x^{2} - 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_{0}^{3} 3 x^{2} d x - \int_{0}^{3} 3 d x

\int_{0}^{3} 3 x^{2} d x = 27

\int_{0}^{3} 3 d x = 9

= 27 - 9

Simplify

= 18

Graph

Popular Examples

integral from 0 to 2 of (3-x)sqrt(x)

\int_{0}^{2} (3 - x) x d x

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\int_{0}^{π} x^{4} cos (n x) d x

integral from-6 to-1 of (x^{-1}+5x)

\int_{- 6}^{- 1} (x^{- 1} + 5 x) d x

integral from-2 to 0 of 15/64+x/(64)

\int_{- 2}^{0} \frac{15}{64} + \frac{x}{64} d x

integral from-1 to 1 of (\sqrt[3]{x}-5)

\int_{- 1}^{1} (3 x - 5) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 3x^2-3 ?
The integral from 0 to 3 of 3x^2-3 is 18