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人気のある微分積分 >

integral from 2 to 9 of (x^3-pix^2)

解

\int_{2}^{9} (x^{3} - π x^{2}) d x

解

\frac{6545}{4} - \frac{721 π}{3}

+1

十進法表記

881.22056 \dots

解答ステップ

\int_{2}^{9} x^{3} - π x^{2} d x

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_{2}^{9} x^{3} d x - \int_{2}^{9} π x^{2} d x

\int_{2}^{9} x^{3} d x = \frac{6545}{4}

\int_{2}^{9} π x^{2} d x = \frac{721 π}{3}

= \frac{6545}{4} - \frac{721 π}{3}

グラフ

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