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受欢迎的微积分 >

面积 x=y^4,y=sqrt(2-x),y=0

解答

面积

x = y^{4}, y = 2 - x, y = 0

解答

无解

求解步骤

对于

x = y^{4}

将

y

移到一边:

y = 4 x, y = - 4 x

f_{1} (x) = 4 x

f_{2} (x) = - 4 x

要找到相交点，解

f_{i} (x) = f_{j} (x)

4 x = - 4 x : x = 0

4 x = 2 - x : x = 1

4 x = 0 : x = 0

- 4 x = 2 - x : x \in R

无解

- 4 x = 0 : x = 0

2 - x = 0 : x = 2

曲线没有界限

= 无解

作图

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