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人気のある微分積分 >

integral from 1 to 3 of x^2+2x-4

解

\int_{1}^{3} x^{2} + 2 x - 4 d x

解

\frac{26}{3}

+1

十進法表記

8.66666 \dots

解答ステップ

\int_{1}^{3} x^{2} + 2 x - 4 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_{1}^{3} x^{2} d x + \int_{1}^{3} 2 x d x - \int_{1}^{3} 4 d x

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} 2 x d x = 8

\int_{1}^{3} 4 d x = 8

= \frac{26}{3} + 8 - 8

簡素化

= \frac{26}{3}

グラフ

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