He is known for his work on characterizing the indefinite integrals that can be solved in closed form, for his work on the theory of ordinary differential equations and partial differential equations, for beginning the study of differential algebraic groups, and for the method of characteristic sets used in the solution of systems of polynomial equations.
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Those insider names for the indefinite integral ( which looks like a hook ) and the factorial symbol ( a bang-like exclamation point ) were part of a distinctive strategy students developed to handle one of the most difficult a high school courses : Advanced Placement BC Calculus, the harder of two advanced placement calculus courses.
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:You're looking at the difference between taking the antiderivative ( the " indefinite integral " ) and evaluating a definite integral . ( Bear in mind that one property of logarithms is that log ( A )-log ( B ) = log ( A / B ) . ) talk ) 17 : 07, 26 February 2013 ( UTC)
44.
I was hoping that a sufficiently nice result for the integral would give some insight in optimizing vehicle navigation, but unfortunately not . ( The lower bound is zero, and the upper bound is another parameter, so I just left it is an indefinite integral . ) Eric . talk ) 09 : 48, 13 July 2008 ( UTC)
