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人気のある微分積分 >

integral from 0 to 1 of pix^4

解

\int_{0}^{1} π x^{4} d x

解

\frac{π}{5}

+1

十進法表記

0.62831 \dots

解答ステップ

\int_{0}^{1} π x^{4} d x

定数を除く:

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

= π \cdot \int_{0}^{1} x^{4} d x

べき乗則を適用する

= π [\frac{x ^{5}}{5}]_{0}^{1}

限度を計算する:

\frac{1}{5}

= π \frac{1}{5}

簡素化

= \frac{π}{5}

グラフ

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