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人気のある微分積分 >

integral from 1 to 2 of x^{3/2}

解

\int_{1}^{2} x^{\frac{3}{2}} d x

解

\frac{8 \cdot 2 ^{\frac{1}{2}} - 2}{5}

+1

十進法表記

1.86274 \dots

解答ステップ

\int_{1}^{2} x^{\frac{3}{2}} d x

べき乗則を適用する

= [\frac{2}{5} x^{\frac{5}{2}}]_{1}^{2}

限度を計算する:

\frac{8 \cdot 2 ^{\frac{1}{2}}}{5} - \frac{2}{5}

= \frac{8 \cdot 2 ^{\frac{1}{2}}}{5} - \frac{2}{5}

簡素化

= \frac{8 \cdot 2 ^{\frac{1}{2}} - 2}{5}

グラフ

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