perplexus.info :: Calculus : Integrable Nest

Integrable Nest (Posted on 2013-08-16)

h(x) =2*x, for 0 ≤ x ≤ 1/3
= x/2 + 1/2, for 1/3 ≤ x ≤ 1

and, h₂(x) = h(h(x)), h₃(x) = h₂(h(x)), ....
h_n+1(x) = h_n(h(x))

Determine:

1
∫ h_n(x) dx in terms of n.
0

No Solution Yet Submitted by K Sengupta

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	Subject	Author	Date
	Solution	Harry	2013-08-22 11:15:11

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