[考古] 中山應數八十八年

[ilovecurl (ilovecurl)]

6.Find the length of the curve y=x^2/2  for 0<=x<=1
                              1
這題我是套用弧長的公式,所求 = ∫ (1+x^2)^1/2dx
                              0
但是不會積

7.Let a and b be real nunbers with a<b. Let f be a function continuous on
  the closed interval [a,b] and differentiable on the open interval (a,b).
  If f'(x) = 0 for all a<x<b ,prove that f is a constant function on [a,b].

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→ pboywc:6.設x=tanu 7.設f不是常函數導出矛盾