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人気のある微分積分 >

integral from 0 to 1/2 of 3x

解

\int_{0}^{\frac{1}{2}} 3 x d x

解

\frac{3}{8}

+1

十進法表記

0.375

解答ステップ

\int_{0}^{\frac{1}{2}} 3 x 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}^{\frac{1}{2}} x d x

べき乗則を適用する

= 3 [\frac{x ^{2}}{2}]_{0}^{\frac{1}{2}}

限度を計算する:

\frac{1}{8}

= 3 \cdot \frac{1}{8}

簡素化

= \frac{3}{8}

グラフ

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