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(a) Prove that Σ³ = n²(n+1) ². j=1 (b) Evaluate fr³ de directly from the definition, without using the Fundamen- tal Theorem of the Calculus. (Hint: use Lemma 4.13 or Theorem 4.16.)

(a) Prove that Σ³ = n²(n+1) ². j=1 (b) Evaluate fr³ de directly from the definition, without using the Fundamen- tal Theorem of the Calculus. (Hint: use Lemma 4.13 or Theorem 4.16.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 65E
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n 3. (a) Prove that Σ³ = = n²(n+1) ². j=1 (b) Evaluate fr³ dx directly from the definition, without using the Fundamen- tal Theorem of the Calculus. (Hint: use Lemma 4.13 or Theorem 4.16.)
Transcribed Image Text:n 3. (a) Prove that Σ³ = = n²(n+1) ². j=1 (b) Evaluate fr³ dx directly from the definition, without using the Fundamen- tal Theorem of the Calculus. (Hint: use Lemma 4.13 or Theorem 4.16.)
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