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人気のある微分積分 >

integral from 0 to 1 of 5x^3

解

\int_{0}^{1} 5 x^{3} d x

解

\frac{5}{4}

+1

十進法表記

1.25

解答ステップ

\int_{0}^{1} 5 x^{3} d x

定数を除く:

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

= 5 \cdot \int_{0}^{1} x^{3} d x

べき乗則を適用する

= 5 [\frac{x ^{4}}{4}]_{0}^{1}

限度を計算する:

\frac{1}{4}

= 5 \cdot \frac{1}{4}

簡素化

= \frac{5}{4}

グラフ

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