where is the derivative of evaluated at some point in an interval containing , and . On setting S , we have
or
The interpolating points corresponding to and in the Adams-Bashforth formula are and and integrating between these limits, we have
is the 
derivative of 
evaluated at some point in an interval containing 
, 
and 
. On setting S 
, we have 
and 
and 
between these limits, we have 
