单选题 难度 3

设 f(x,y)f(x,y) 是连续函数,则累次积分 ∫04dx∫x2xf(x,y) dy=\int_0^4 dx\int_x^{2\sqrt{x}} f(x,y)\,dy=( )

  1. 选项 A ∫04dy∫y2/4yf(x,y) dx\int_0^4dy\int_{y^2/4}^{y}f(x,y)\,dx
  2. 选项 B ∫04dy∫−yy2/4f(x,y) dx\int_0^4dy\int_{-y}^{y^2/4}f(x,y)\,dx
  3. 选项 C ∫04dy∫1/4yf(x,y) dx\int_0^4dy\int_{1/4}^{y}f(x,y)\,dx
  4. 选项 D ∫04dy∫y2/2yf(x,y) dx\int_0^4dy\int_{y^2/2}^{y}f(x,y)\,dx

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