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NestList integration bug?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg117518] NestList integration bug?
  • From: Jon Joseph <josco.jon at gmail.com>
  • Date: Mon, 21 Mar 2011 06:16:57 -0500 (EST)

All: Please comment on the following code:

The following input:  NestList[Integrate[#, {t, a, x }] &, m, 5]         
         (* m is a constant *)

results in {m, m(-a + x), m (-a + x)^2, m (-a + x)^3, m (-a + x)^4, m 
(-a + x)^5}

which is missing the divisors as a result of the integration. However, 
doing the integral indefinitely:

NestList[Integrate[#, x] &, m, 5]  results in


{m, m x, (m x^2)/2, (m x^3)/6, (m x^4)/24, (m x^5)/120}

which is correct. 

What am I missing?

"7.0 for Mac OS X x86 (64-bit) (February 19, 2009)"

Jon


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