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{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT 257 58 "DerivativeMod-returns ex
pressions modulo total derivatives" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
256 23 "Loading the packages..." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 8 "restart;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 70 "Directory belo
w should be the directory where the source code file is." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "read(\"INT/INTpackage/INT.map\");" 
}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 258 8 "Examples" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "E:=diff(u(x),x);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "DerivativeMod(E,x);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "E:=diff(2^(u(x)*v(x)),x)+u(x);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "DerivativeMod(E,x);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 82 "E:=2*u(x)*diff(u(x),x)^3+3*u
(x)^2*diff(u(x),x)*diff(u(x),x,x)+2*u(x)*diff(u(x),x);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "DerivativeMod(E,x);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 202 "E:=3*diff(u(x),x)*v(x)^2*sin(u(x))
-diff(u(x),x)^3*sin(u(x))-6*v(x)*diff(v(x),x)*cos(u(x))+2*diff(u(x),x)
*diff(u(x),x,x)*cos(u(x))+8*diff(v(x),x)*diff(v(x),x,x)+v(x)+u(x)*v(x)
^3+exp(u(x))*diff(u(x),x$3);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 19 "DerivativeMod(E,x);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
26 "n:=12:E:=expand(chi(n,x));" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 35 
"For n odd, E is a total derivative." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 19 "DerivativeMod(E,x);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
-1 184 "The form of the integrand can effect the integration procedure
 for expressions which contain non-monomial terms in the denominator. \+
Though the result is correct, it may not be optimal." }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 168 "E:=expand(diff(x^3*u(x)^2/(5+u(x)^3*v(x)
),x)+diff(sin(x)*u(x),x)+diff(u(x),x)/u(x)+x^2*sin(x)+cos(x)+cos(u(x))
+diff(sin(u(x)),x)+exp(v(x)*u(x))+diff(exp(v(x)*u(x)),x));" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "DerivativeMod(E,x);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "E:=expand(normal(E));" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "DerivativeMod(E,x);" }}}{EXCHG 
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