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MathGroup Archive 1993

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Integrate

  • To: mathgroup at yoda.physics.unc.edu
  • Subject: Integrate
  • From: deutsch at bu-pub.bu.edu
  • Date: Thu, 4 Mar 93 16:00:57 -0500

Hello Mathgroup,


       I have a question which I suspect has been discussed before.

Is there a reason why Integrate[ (x + c)^3, x ] does not return 

               (x + c)^4
               ---------
                   4

Instead here is the result:


Mathematica 2.0 for SPARC
Copyright 1988-91 Wolfram Research, Inc.
 -- X11 windows graphics initialized -- 

In[1]:= Integrate[ (x + c)^3, x ]

                  2  2           4
         3     3 c  x       3   x
Out[1]= c  x + ------- + c x  + --
                  2             4

In[2]:= Simplify[%]

                  2  2           4
         3     3 c  x       3   x
Out[2]= c  x + ------- + c x  + --
                  2             4

In[3]:= D[%,x]

         3      2          2    3
Out[3]= c  + 3 c  x + 3 c x  + x


In[4]:= Simplify[%]

               3
Out[4]= (c + x)


Clearly, the output Out[1] is correct but
is there some way to force Out[1] to look like:

               (x + c)^4
               ---------
                   4

Simplify, doesn't seem to do the job either.


David Deutsch
Information Technology
Boston University
deutsch at it.bu.edu





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