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人気のある微分積分 >

integral from 4 to 1 of-sqrt(x)

解

\int_{4}^{1} - x d x

解

\frac{14}{3}

+1

十進法表記

4.66666 \dots

解答ステップ

\int_{4}^{1} - x d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

べき乗則を適用する

= - (- [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{4})

簡素化

= [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{4}

限度を計算する:

\frac{14}{3}

= \frac{14}{3}

グラフ

人気の例

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\int_{0}^{2} 12 x^{2} d x

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