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人気のある微分積分 >

integral from 1 to 3 of 1/32 xy

解

\int_{1}^{3} \frac{1}{32} x y d y

解

\frac{x}{8}

解答ステップ

\int_{1}^{3} \frac{1}{32} x y d y

定数を除く:

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

= \frac{1}{32} x \cdot \int_{1}^{3} y d y

簡素化

\frac{1}{32} x : \frac{x}{32}

= \frac{x}{32} \cdot \int_{1}^{3} y d y

べき乗則を適用する

= \frac{x}{32} [\frac{y ^{2}}{2}]_{1}^{3}

限度を計算する:

4

= \frac{x}{32} \cdot 4

簡素化

= \frac{x}{8}

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