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人気のある微分積分 >

integral from 0 to 3 of (9-x^2)

解

\int_{0}^{3} (9 - x^{2}) d x

解

18

解答ステップ

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

\int_{0}^{3} 9 d x = 27

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

= 27 - 9

簡素化

= 18

グラフ

人気の例

(\partial)/(\partial x)(3sqrt(xy^2+9x))

\frac{\partial}{\partial x} (3 x y^{2} + 9 x)

f(x)=x*sqrt(2x+2)

f (x) = x \cdot 2 x + 2

y^{^{'}} = e^{(x + y)}

derivative h(x)=(5-5x^3)^3+1/(5-5x^3)

d er i v a t i v e h (x) = (5 - 5 x^{3})^{3} + \frac{1}{5 - 5 x ^{3}}

integral from 0 to pi of 6sin(x)

\int_{0}^{π} 6 sin (x) d x