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人気のある微分積分 >

integral from 1 to 2 of (6x^2-6x+6)

解

\int_{1}^{2} (6 x^{2} - 6 x + 6) d x

解

11

解答ステップ

\int_{1}^{2} 6 x^{2} - 6 x + 6 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}^{2} 6 x^{2} d x - \int_{1}^{2} 6 x d x + \int_{1}^{2} 6 d x

\int_{1}^{2} 6 x^{2} d x = 14

\int_{1}^{2} 6 x d x = 9

\int_{1}^{2} 6 d x = 6

= 14 - 9 + 6

簡素化

= 11

グラフ

人気の例

integral from 1 to 2 of 3x^5-2x^3

\int_{1}^{2} 3 x^{5} - 2 x^{3} d x

integral from 0 to 3 of 1-e^{-x}

\int_{0}^{3} 1 - e^{- x} d x

integral from 0 to 1 of (x^3-2x+5)

\int_{0}^{1} (x^{3} - 2 x + 5) d x

integral from pi to 0 of sin(x)cos^3(x)

\int_{π}^{0} sin (x) cos^{3} (x) d x

integral from 1 to 3 of 2xsqrt(x^2+9)

\int_{1}^{3} 2 x x^{2} + 9 d x