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人気のある微分積分 >

integral from 1 to 4 of (x+1)

解

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

解

\frac{21}{2}

+1

十進法表記

10.5

解答ステップ

\int_{1}^{4} x + 1 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_{1}^{4} x d x + \int_{1}^{4} 1 d x

\int_{1}^{4} x d x = \frac{15}{2}

\int_{1}^{4} 1 d x = 3

= \frac{15}{2} + 3

簡素化

\frac{15}{2} + 3 : \frac{21}{2}

= \frac{21}{2}

グラフ

人気の例

integral from 1/2 to 1 of 1/(x^2)

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

integral from 0 to t of xsin(x)

\int_{0}^{t} x sin (x) d x

integral from-5 to 4 of |x|

\int_{- 5}^{4} ∣ x ∣ d x

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\int_{- 2}^{5} ∣ x ∣ d x

integral from 0 to 1 of x^6e^{-x^7}

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