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人気のある微分積分 >

integral from 0 to sqrt(2 of) pi/4 z^2

解

\int_{0}^{2} \frac{π}{4} z^{2} d z

解

\frac{π}{3 2}

+1

十進法表記

0.74048 \dots

解答ステップ

\int_{0}^{2} \frac{π}{4} z^{2} d z

定数を除く:

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

= \frac{π}{4} \cdot \int_{0}^{2} z^{2} d z

べき乗則を適用する

= \frac{π}{4} [\frac{z ^{3}}{3}]_{0}^{2}

限度を計算する:

\frac{2 2}{3}

= \frac{π}{4} \cdot \frac{2 2}{3}

簡素化

= \frac{π}{3 2}

グラフ

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