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人気のある微分積分 >

integral of-x^2+8x

解

\int - x^{2} + 8 x d x

解

- \frac{x ^{3}}{3} + 4 x^{2} + C

解答ステップ

\int - x^{2} + 8 x 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 x^{2} d x + \int 8 x d x

\int x^{2} d x = \frac{x ^{3}}{3}

\int 8 x d x = 4 x^{2}

= - \frac{x ^{3}}{3} + 4 x^{2}

定数を解答に追加する

= - \frac{x ^{3}}{3} + 4 x^{2} + C

グラフ

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