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人気のある微分積分 >

integral from 0 to 1 of (2x-3)

解

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

解

- 2

解答ステップ

\int_{0}^{1} 2 x - 3 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}^{1} 2 x d x - \int_{0}^{1} 3 d x

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

\int_{0}^{1} 3 d x = 3

= 1 - 3

簡素化

= - 2

グラフ

人気の例

derivative f(x)=(x^3+2x+7)/(x^2-5)

d er i v a t i v e f (x) = \frac{x ^{3} + 2 x + 7}{x ^{2} - 5}

integral from 1 to 1.5 of 2/5 (x+1)

\int_{1}^{1.5} \frac{2}{5} (x + 1) d x

derivative f(t)=6t^3-54t^2+70

d er i v a t i v e f (t) = 6 t^{3} - 54 t^{2} + 70

derivative of 1/(\sqrt[3]{x^3+1})

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

derivative of (x^2+1/(x^2+x+1))

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