Question: 2. Let D : P(R) - P(R) be the derivative, defined on the basis {1, x, x2, ...} by D(1) = 0 and D(xk) =

2. Let D : P(R) - P(R) be the derivative, defined
2. Let D : P(R) - P(R) be the derivative, defined on the basis {1, x, x2, ...} by D(1) = 0 and D(xk) = kxk-1; and let Int: P(R) - P(R) be the indefinite integral, defined by Int(1) = x and Int(* ) = kid 1 pok+1 (a) Show that DoInt is an isomorphism. (b) Explain why D and Int are not isomorphisms

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