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人気のある微分積分 >

integral from 0 to 1 of 4x(1-y)

解

\int_{0}^{1} 4 x (1 - y) d x

解

2 (1 - y)

解答ステップ

\int_{0}^{1} 4 x (1 - y) d x

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= (1 - y) \cdot 4 \cdot \int_{0}^{1} x d x

\int_{0}^{1} x d x = \frac{1}{2}

= (1 - y) \cdot 4 \cdot \frac{1}{2}

簡素化

(1 - y) \cdot 4 \cdot \frac{1}{2} : 2 (1 - y)

= 2 (1 - y)

人気の例

integral from-1 to 1 of (\sqrt[3]{t}-6)

\int_{- 1}^{1} (3 t - 6) d t

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

\int_{5}^{x^{2}} \frac{1}{t ^{4}} d t

integral from 0 to x of 3t^2

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

integral from 0 to 7/3 of 3t-7

\int_{0}^{\frac{7}{3}} 3 t - 7 d t

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

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