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人気のある微分積分 >

integral from 0 to 7 of 3sqrt(x+9)

解

\int_{0}^{7} 3 x + 9 d x

解

74

解答ステップ

\int_{0}^{7} 3 x + 9 d x

定数を除く:

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

= 3 \cdot \int_{0}^{7} x + 9 d x

u置換積分法を適用する

= 3 \cdot \int_{9}^{16} u d u

べき乗則を適用する

= 3 [\frac{2}{3} u^{\frac{3}{2}}]_{9}^{16}

限度を計算する:

\frac{74}{3}

= 3 \cdot \frac{74}{3}

簡素化

= 74

グラフ

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