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人気のある微分積分 >

integral from 0 to 1 of (y^2-y^3)

解

\int_{0}^{1} (y^{2} - y^{3}) d y

解

\frac{1}{12}

+1

十進法表記

0.08333 \dots

解答ステップ

\int_{0}^{1} y^{2} - y^{3} d y

総和規則を適用する:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{1} y^{2} d y - \int_{0}^{1} y^{3} d y

\int_{0}^{1} y^{2} d y = \frac{1}{3}

\int_{0}^{1} y^{3} d y = \frac{1}{4}

= \frac{1}{3} - \frac{1}{4}

簡素化

\frac{1}{3} - \frac{1}{4} : \frac{1}{12}

= \frac{1}{12}

グラフ

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