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Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding series expansion for the indefinite integral of f. If f(x): = x -9x8 (1+29)2 So* f(t)dt = Σ n=1 = ∞ =Σ (-1)"9x9n-1 n=0

Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding series expansion for the indefinite integral of f. If f(x): = x -9x8 (1+29)2 So* f(t)dt = Σ n=1 = ∞ =Σ (-1)"9x9n-1 n=0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding series expansion for the indefinite integral of f. If f(x): = x -9x8 (1+29)2 So* f(t)dt = Σ n=1 = ∞ =Σ (-1)"9x9n-1 n=0
Transcribed Image Text:Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding series expansion for the indefinite integral of f. If f(x): = x -9x8 (1+29)2 So* f(t)dt = Σ n=1 = ∞ =Σ (-1)"9x9n-1 n=0
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