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人気のある微分積分 >

integral from 0 to 2 of piy^4

解

\int_{0}^{2} π y^{4} d y

解

\frac{32 π}{5}

+1

十進法表記

20.10619 \dots

解答ステップ

\int_{0}^{2} π y^{4} d y

定数を除く:

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

= π \cdot \int_{0}^{2} y^{4} d y

べき乗則を適用する

= π [\frac{y ^{5}}{5}]_{0}^{2}

限度を計算する:

\frac{32}{5}

= π \frac{32}{5}

簡素化

= \frac{32 π}{5}

グラフ

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