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人気のある微分積分 >

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

解

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

解

8

解答ステップ

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

総和規則を適用する:

\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

簡素化

= 8

グラフ

人気の例

integral from 0 to 1 of sqrt(x^2+1)x

\int_{0}^{1} x^{2} + 1 x d x

integral from-2x to 2x of sqrt(3x+y)

\int_{- 2 x}^{2 x} 3 x + y d y

integral from 1 to 3 of ((3x-y))/5

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

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\int_{0}^{\frac{1}{7}} arccos (7 x) d x

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