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Integrate[]

• To: mathgroup at yoda.physics.unc.edu
• Subject: Integrate[]
• From: Robert Singleton <bobs at pth3.bu.edu>
• Date: Fri, 8 Oct 93 16:01:44 -0500

How can I instruct Integrate[] not to integrate by parts? For example:

fun = -4 H[v]^2 G'[u] H'[u]/(u-v)^2

Integrate[fun,u,v]

Out[207]=
                     2
            H[u] H[v]  (4 G'[u] - u G''[u] + v G''[u])
4 Integrate[------------------------------------------, u, v] - 

                                    5
                            (-u + v)
 

                         2
                     H[v]
  4 H[u] Integrate[---------, v] G'[u]
                           4
                   (-u + v)

I don't want Integrate[] to integrate by parts -- I merely want Mma. to
leave the integral as is. Or rather, I want to be able to tell Mma. when
to and when not to integrate by parts. In the calculation I'm doing sometimes
the above intgration by parts is desirable and sometimes not. Thanks very
much.

bob singleton
bobs at pth3.bu.edu