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人気のある微分積分 >

integral from z to sqrt(4-z^2 of)z

解

\int_{z}^{4 - z^{2}} z d z

解

2 - z^{2}

解答ステップ

\int_{z}^{4 - z^{2}} z d z

べき乗則を適用する

= [\frac{z ^{2}}{2}]_{z}^{4 - z^{2}}

限度を計算する:

\frac{1}{2} (4 - z^{2}) - \frac{z ^{2}}{2}

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

簡素化

= 2 - z^{2}

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