(Calculus required) Let J : Pn Pn+1 be the integration transformation defined by J (p) =

Chapter 8, Problem 25

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(Calculus required) Let J : Pn Pn+1 be the integration transformation defined by J (p) = x 0 (a0 + a1t ++ ant n)dt = a0x + a1 2 x2 ++ an n + 1 xn+1 where p = a0 + a1x ++ anxn. Find the matrix for J with respect to the standard bases for Pn and Pn+1

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