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人気のある微分積分 >

integral from 0 to 3 of (x^2-4)

解

\int_{0}^{3} (x^{2} - 4) d x

解

- 3

解答ステップ

\int_{0}^{3} x^{2} - 4 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}^{3} x^{2} d x - \int_{0}^{3} 4 d x

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

\int_{0}^{3} 4 d x = 12

= 9 - 12

簡素化

= - 3

グラフ

人気の例

integral from 0 to 1 of 1/(x^{5/3)}

\int_{0}^{1} \frac{1}{x ^{\frac{5}{3}}} d x

integral from 1 to 2 of x^2+2

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

integral from 0 to 4 of e^{-x^2}

\int_{0}^{4} e^{- x^{2}} d x

integral from-1 to 0 of (1+x)

\int_{- 1}^{0} (1 + x) d x

integral from-1 to 4 of (2x+1)

\int_{- 1}^{4} (2 x + 1) d x