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人気のある微分積分 >

integral from 2 to 4 of sqrt(4-x)

解

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

解

\frac{4 2}{3}

+1

十進法表記

1.88561 \dots

解答ステップ

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

u置換積分法を適用する

= \int_{2}^{0} - u d u

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

= - \int_{0}^{2} - u d u

定数を除く:

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

= - (- \int_{0}^{2} u d u)

べき乗則を適用する

= - (- [\frac{2}{3} u^{\frac{3}{2}}]_{0}^{2})

簡素化

= [\frac{2}{3} u^{\frac{3}{2}}]_{0}^{2}

限度を計算する:

\frac{4 2}{3}

= \frac{4 2}{3}

グラフ

人気の例

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