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人気のある微分積分 >

integral from y^2 to 1 of 4y

解

\int_{y^{2}}^{1} 4 y d y

解

2 (- y^{4} + 1)

解答ステップ

\int_{y^{2}}^{1} 4 y d y

定数を除く:

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

= 4 \cdot \int_{y^{2}}^{1} y d y

べき乗則を適用する

= 4 [\frac{y ^{2}}{2}]_{y^{2}}^{1}

限度を計算する:

\frac{1}{2} - \frac{y ^{4}}{2}

= 4 (\frac{1}{2} - \frac{y ^{4}}{2})

簡素化

= 2 (- y^{4} + 1)

人気の例

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