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人気のある微分積分 >

integral from-2 to 3 of 1-x

解

\int_{- 2}^{3} 1 - x d x

解

\frac{5}{2}

+1

十進法表記

2.5

解答ステップ

\int_{- 2}^{3} 1 - 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_{- 2}^{3} 1 d x - \int_{- 2}^{3} x d x

\int_{- 2}^{3} 1 d x = 5

\int_{- 2}^{3} x d x = \frac{5}{2}

= 5 - \frac{5}{2}

簡素化

5 - \frac{5}{2} : \frac{5}{2}

= \frac{5}{2}

グラフ

人気の例

integral from 1 to infinity of tan(x)

\int_{1}^{\infty} tan (x) d x

integral from 1/2 to 2 of 2x-1

\int_{\frac{1}{2}}^{2} 2 x - 1 d x

integral from 0 to 1 of 5x(5x^2+1)

\int_{0}^{1} 5 x (5 x^{2} + 1) d x

integral from 0 to 1 of 2/((x+1)(x+3))

\int_{0}^{1} \frac{2}{( x + 1 ) ( x + 3 )} d x

integral from 0 to pi of sin(x/3)

\int_{0}^{π} sin (\frac{x}{3}) d x