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人気のある微分積分 >

integral from 2 to 5 of x^2-4x+5

解

\int_{2}^{5} x^{2} - 4 x + 5 d x

解

12

解答ステップ

\int_{2}^{5} x^{2} - 4 x + 5 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}^{5} x^{2} d x - \int_{2}^{5} 4 x d x + \int_{2}^{5} 5 d x

\int_{2}^{5} x^{2} d x = 39

\int_{2}^{5} 4 x d x = 42

\int_{2}^{5} 5 d x = 15

= 39 - 42 + 15

簡素化

= 12

グラフ

人気の例

integral from 0 to infinity of 1/(4x+3)

\int_{0}^{\infty} \frac{1}{4 x + 3} d x

integral from 4 to 16 of 2sqrt(x)-1

\int_{4}^{16} 2 x - 1 d x

integral from 0 to x of x^3y^2

\int_{0}^{x} x^{3} y^{2} d y

integral from-2 to 0 of 2x+4

\int_{- 2}^{0} 2 x + 4 d x

integral from 1/4 to 1/2 of 2/5 (x+2)

\int_{\frac{1}{4}}^{\frac{1}{2}} \frac{2}{5} (x + 2) d x