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人気のある微分積分 >

integral from 0 to 1 of 2x^5

解

\int_{0}^{1} 2 x^{5} d x

解

\frac{1}{3}

+1

十進法表記

0.33333 \dots

解答ステップ

\int_{0}^{1} 2 x^{5} d x

定数を除く:

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

= 2 \cdot \int_{0}^{1} x^{5} d x

べき乗則を適用する

= 2 [\frac{x ^{6}}{6}]_{0}^{1}

限度を計算する:

\frac{1}{6}

= 2 \cdot \frac{1}{6}

簡素化

= \frac{1}{3}

グラフ

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