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人気のある微分積分 >

integral from-1 to 1 of mx^2

解

\int_{- 1}^{1} m x^{2} d x

解

\frac{2 m}{3}

解答ステップ

\int_{- 1}^{1} m x^{2} d x

定数を除く:

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

= m \cdot \int_{- 1}^{1} x^{2} d x

べき乗則を適用する

= m [\frac{x ^{3}}{3}]_{- 1}^{1}

限度を計算する:

\frac{2}{3}

= m \frac{2}{3}

簡素化

= \frac{2 m}{3}

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