LetJbe the operation of taking a definite integral from 0 to 1. J can be used to define
Chapter 4, Problem 14(choose chapter or problem)
LetJbe the operation of taking a definite integral from 0 to 1. J can be used to define a mapping of P n into R. For example J(6x2 + 2x + 3) = f(6x2 + 2x + 3)dx = [2x3 + x2 + 3x]i = 6 J maps the element 6x2 + 2x + 3 of P n into the element 6 of R. Show that J is a linear transformation of P n R.
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