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人気のある微分積分 >

integral from 0 to 3 of (4-x^2)

解

\int_{0}^{3} (4 - x^{2}) d x

解

3

解答ステップ

\int_{0}^{3} 4 - 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} 4 d x - \int_{0}^{3} x^{2} d x

\int_{0}^{3} 4 d x = 12

\int_{0}^{3} x^{2} d x = 9

= 12 - 9

簡素化

= 3

グラフ

人気の例

(dx)/(dt)=4x(7-x)

\frac{d x}{d t} = 4 x (7 - x)

integral of 8/((x-4)^2)

\int \frac{8}{( x - 4 ) ^{2}} d x

limit as x approaches infinity of (x/(x+1))^{2x}

x \to \infty lim ((\frac{x}{x + 1})^{2 x})

derivative of ax^3+bx^2

\frac{d}{d x} (a x^{3} + b x^{2})

derivative g(x)=sqrt(9-x)

d er i v a t i v e g (x) = 9 - x