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人気のある微分積分 >

integral from 0 to sqrt(1-x^2-y^2 of)xy

解

\int_{0}^{1 - x^{2} - y^{2}} x y d z

解

x y 1 - x^{2} - y^{2}

解答ステップ

\int_{0}^{1 - x^{2} - y^{2}} x y d z

定数の積分:

\int a d x = a x

= [x yz]_{0}^{1 - x^{2} - y^{2}}

限度を計算する:

x y 1 - x^{2} - y^{2}

= x y 1 - x^{2} - y^{2}

人気の例

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

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

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

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

integral from-1 to 0 of (5-3x)/(4x-3)

\int_{- 1}^{0} \frac{5 - 3 x}{4 x - 3} d x

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

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

integral from-1 to 1 of (x+|x-1|)

\int_{- 1}^{1} (x + ∣ x - 1 ∣) d x