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26. THE DEFINITE INTEGRAL (1) What is the Denite Integral of a function f from a to b? (2) The symbol I was introduced by and is called an . It is an elongated S and is chosen because an integral is a (3) In the notation f: f (m)dx, f (53) is called , a and b are called , a is the , and b is the (4) The Symbol d3: simply indicates that (5) The sum 22:1 f(35;')Asc is called , named after the German mathematician (6) Theorem: If f is continuous on [a, b], or if f has only a nite number of jump discontinuites on [(1,1)], then that is, exists. (7) Theorem on page 298