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人気のある微分積分 >

integral from 0 to 3 of 200+10x+1/3 x^2

解

\int_{0}^{3} 200 + 10 x + \frac{1}{3} x^{2} d x

解

648

解答ステップ

\int_{0}^{3} 200 + 10 x + \frac{1}{3} 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_{0}^{3} 200 d x + \int_{0}^{3} 10 x d x + \int_{0}^{3} \frac{1}{3} x^{2} d x

\int_{0}^{3} 200 d x = 600

\int_{0}^{3} 10 x d x = 45

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

= 600 + 45 + 3

簡素化

= 648

グラフ

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