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人気のある微分積分 >

integral from 0 to 2 of (4x^2)

解

\int_{0}^{2} (4 x^{2}) d x

解

\frac{32}{3}

+1

十進法表記

10.66666 \dots

解答ステップ

\int_{0}^{2} 4 x^{2} d x

定数を除く:

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

= 4 \cdot \int_{0}^{2} x^{2} d x

べき乗則を適用する

= 4 [\frac{x ^{3}}{3}]_{0}^{2}

限度を計算する:

\frac{8}{3}

= 4 \cdot \frac{8}{3}

簡素化

= \frac{32}{3}

グラフ

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