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人気のある微分積分 >

integral from 1 to 2 of 3/7 x^2x^2

解

\int_{1}^{2} \frac{3}{7} x^{2} x^{2} d x

解

\frac{93}{35}

+1

十進法表記

2.65714 \dots

解答ステップ

\int_{1}^{2} \frac{3}{7} x^{2} x^{2} d x

定数を除く:

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

= \frac{3}{7} \cdot \int_{1}^{2} x^{2} x^{2} d x

簡素化

x^{2} x^{2} : x^{4}

= \frac{3}{7} \cdot \int_{1}^{2} x^{4} d x

べき乗則を適用する

= \frac{3}{7} [\frac{x ^{5}}{5}]_{1}^{2}

限度を計算する:

\frac{31}{5}

= \frac{3}{7} \cdot \frac{31}{5}

簡素化

= \frac{93}{35}

グラフ

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