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Popular >

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

Solution

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

Solution

0

Solution steps

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

\int_{0}^{3} 2 x d x = 9

\int_{0}^{3} x^{2} d x = 9

= 9 - 9

Simplify

= 0

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x \to 0 lim (1 - x^{2})

Frequently Asked Questions (FAQ)

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