
(/VERSIONCHECK 2) 

(DEFUN |DEFINTRF;integrate;FSbU;1| (|f| |s| $)
  (|DEFINTRF;int| |f| (SPADCALL |s| (QREFELT $ 9))
   (SPADCALL (SPADCALL |s| (QREFELT $ 11)) (QREFELT $ 13))
   (SPADCALL (SPADCALL |s| (QREFELT $ 11)) (QREFELT $ 14)) 'NIL $)) 

(DEFUN |DEFINTRF;nopole| (|f| |x| |a| |b| $)
  (PROG (|ans| #1=#:G1835 |v| #2=#:G1836 |g| |u| |k|)
    (RETURN
     (SEQ
      (EXIT
       (SEQ (LETT |k| (SPADCALL |x| (QREFELT $ 19)) . #3=(|DEFINTRF;nopole|))
            (LETT |u| (SPADCALL |f| |x| (QREFELT $ 22)) . #3#)
            (EXIT
             (COND
              ((QEQCAR |u| 0)
               (SEQ
                (LETT |v| (SPADCALL |k| (QCDR |u|) |a| |b| 'T (QREFELT $ 27))
                      . #3#)
                (EXIT
                 (COND ((QEQCAR |v| 1) (CONS 2 #4="failed"))
                       (#5='T (CONS 0 (QCDR |v|)))))))
              (#5#
               (SEQ (LETT |ans| NIL . #3#)
                    (SEQ (LETT |g| NIL . #3#) (LETT #2# (QCDR |u|) . #3#) G190
                         (COND
                          ((OR (ATOM #2#)
                               (PROGN (LETT |g| (CAR #2#) . #3#) NIL))
                           (GO G191)))
                         (SEQ
                          (LETT |v|
                                (SPADCALL |k| |g| |a| |b| 'T (QREFELT $ 27))
                                . #3#)
                          (EXIT
                           (COND
                            ((QEQCAR |v| 1)
                             (PROGN (LETT #1# (CONS 2 #4#) . #3#) (GO #1#)))
                            ('T
                             (LETT |ans|
                                   (SPADCALL |ans| (LIST (QCDR |v|))
                                             (QREFELT $ 29))
                                   . #3#)))))
                         (LETT #2# (CDR #2#) . #3#) (GO G190) G191 (EXIT NIL))
                    (EXIT (CONS 1 |ans|))))))))
      #1# (EXIT #1#))))) 

(DEFUN |DEFINTRF;integrate;FSbU;3| (|f| |s| $)
  (|DEFINTRF;int| |f| (SPADCALL |s| (QREFELT $ 31))
   (SPADCALL (ELT $ 32) (SPADCALL (SPADCALL |s| (QREFELT $ 34)) (QREFELT $ 36))
             (QREFELT $ 39))
   (SPADCALL (ELT $ 32) (SPADCALL (SPADCALL |s| (QREFELT $ 34)) (QREFELT $ 40))
             (QREFELT $ 39))
   'NIL $)) 

(DEFUN |DEFINTRF;integrate;FSbSU;4| (|f| |s| |str| $)
  (|DEFINTRF;int| |f| (SPADCALL |s| (QREFELT $ 31))
   (SPADCALL (ELT $ 32) (SPADCALL (SPADCALL |s| (QREFELT $ 34)) (QREFELT $ 36))
             (QREFELT $ 39))
   (SPADCALL (ELT $ 32) (SPADCALL (SPADCALL |s| (QREFELT $ 34)) (QREFELT $ 40))
             (QREFELT $ 39))
   (SPADCALL |str| (QREFELT $ 43)) $)) 

(DEFUN |DEFINTRF;integrate;FSbSU;5| (|f| |s| |str| $)
  (|DEFINTRF;int| |f| (SPADCALL |s| (QREFELT $ 9))
   (SPADCALL (SPADCALL |s| (QREFELT $ 11)) (QREFELT $ 13))
   (SPADCALL (SPADCALL |s| (QREFELT $ 11)) (QREFELT $ 14))
   (SPADCALL |str| (QREFELT $ 43)) $)) 

(DEFUN |DEFINTRF;int| (|f| |x| |a| |b| |ignor?| $)
  (PROG (|z|)
    (RETURN
     (SEQ
      (COND ((SPADCALL |a| |b| (QREFELT $ 46)) (CONS 0 (|spadConstant| $ 47)))
            (#1='T
             (SEQ
              (LETT |z|
                    (SPADCALL (SPADCALL |f| (QREFELT $ 49)) |x| |a| |b| 'T
                              (QREFELT $ 51))
                    |DEFINTRF;int|)
              (EXIT
               (COND
                ((QEQCAR |z| 1)
                 (COND (|ignor?| (|DEFINTRF;nopole| |f| |x| |a| |b| $))
                       (#1# (CONS 3 "potentialPole"))))
                ((QCDR |z|) (|error| "integrate: pole in path of integration"))
                (#1# (|DEFINTRF;nopole| |f| |x| |a| |b| $))))))))))) 

(DEFUN |RationalFunctionDefiniteIntegration| (#1=#:G1865)
  (PROG ()
    (RETURN
     (PROG (#2=#:G1866)
       (RETURN
        (COND
         ((LETT #2#
                (|lassocShiftWithFunction| (LIST (|devaluate| #1#))
                                           (HGET |$ConstructorCache|
                                                 '|RationalFunctionDefiniteIntegration|)
                                           '|domainEqualList|)
                . #3=(|RationalFunctionDefiniteIntegration|))
          (|CDRwithIncrement| #2#))
         ('T
          (UNWIND-PROTECT
              (PROG1 (|RationalFunctionDefiniteIntegration;| #1#)
                (LETT #2# T . #3#))
            (COND
             ((NOT #2#)
              (HREM |$ConstructorCache|
                    '|RationalFunctionDefiniteIntegration|))))))))))) 

(DEFUN |RationalFunctionDefiniteIntegration;| (|#1|)
  (PROG (|pv$| $ |dv$| DV$1)
    (RETURN
     (PROGN
      (LETT DV$1 (|devaluate| |#1|)
            . #1=(|RationalFunctionDefiniteIntegration|))
      (LETT |dv$| (LIST '|RationalFunctionDefiniteIntegration| DV$1) . #1#)
      (LETT $ (GETREFV 52) . #1#)
      (QSETREFV $ 0 |dv$|)
      (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#))
      (|haddProp| |$ConstructorCache| '|RationalFunctionDefiniteIntegration|
                  (LIST DV$1) (CONS 1 $))
      (|stuffDomainSlots| $)
      (QSETREFV $ 6 |#1|)
      $)))) 

(MAKEPROP '|RationalFunctionDefiniteIntegration| '|infovec|
          (LIST
           '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|Symbol|)
              (|SegmentBinding| 12) (0 . |variable|) (|Segment| 12)
              (5 . |segment|) (|OrderedCompletion| 24) (10 . |lo|) (15 . |hi|)
              (|Union| (|:| |f1| 12) (|:| |f2| 28) (|:| |fail| '"failed")
                       (|:| |pole| '"potentialPole"))
              (|Fraction| 48) |DEFINTRF;integrate;FSbU;1| (|Kernel| 24)
              (20 . |kernel|) (|Union| 24 (|List| 24))
              (|IntegrationResultRFToFunction| 6) (25 . |integrate|)
              (|Union| 12 '"failed") (|Expression| 6) (|Boolean|)
              (|DefiniteIntegrationTools| 6 24) (31 . |computeInt|) (|List| 12)
              (40 . |concat!|) (|SegmentBinding| 35) (46 . |variable|)
              (51 . |coerce|) (|Segment| 35) (56 . |segment|)
              (|OrderedCompletion| 16) (61 . |lo|) (|Mapping| 24 16)
              (|OrderedCompletionFunctions2| 16 24) (66 . |map|) (72 . |hi|)
              |DEFINTRF;integrate;FSbU;3| (|String|) (77 . |ignore?|)
              |DEFINTRF;integrate;FSbSU;4| |DEFINTRF;integrate;FSbSU;5|
              (82 . =) (88 . |Zero|) (|Polynomial| 6) (92 . |denom|)
              (|Union| 25 '"failed") (97 . |checkForZero|))
           '#(|integrate| 106) 'NIL
           (CONS (|makeByteWordVec2| 1 'NIL)
                 (CONS '#()
                       (CONS '#()
                             (|makeByteWordVec2| 51
                                                 '(1 8 7 0 9 1 8 10 0 11 1 10
                                                   12 0 13 1 10 12 0 14 1 18 0
                                                   7 19 2 21 20 16 7 22 5 26 23
                                                   18 24 12 12 25 27 2 28 0 0 0
                                                   29 1 30 7 0 31 1 24 0 16 32
                                                   1 30 33 0 34 1 33 35 0 36 2
                                                   38 12 37 35 39 1 33 35 0 40
                                                   1 26 25 42 43 2 12 25 0 0 46
                                                   0 12 0 47 1 16 48 0 49 5 26
                                                   50 48 7 12 12 25 51 3 0 15
                                                   16 8 42 45 2 0 15 16 8 17 3
                                                   0 15 16 30 42 44 2 0 15 16
                                                   30 41)))))
           '|lookupComplete|)) 
