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인기 있는 >

integral from 0 to 2 of (3x^2+9-9x)

해법

\int_{0}^{2} (3 x^{2} + 9 - 9 x) d x

해법

8

솔루션 단계

\int_{0}^{2} 3 x^{2} + 9 - 9 x d x

합계 규칙 적용:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{0}^{2} 3 x^{2} d x = 8

\int_{0}^{2} 9 d x = 18

\int_{0}^{2} 9 x d x = 18

= 8 + 18 - 18

단순화

= 8

인기 있는 예

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

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\int_{0}^{z} e^{- x^{2}} d x