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2. Evaluate the integral (3x²+2x³)dx using the limiting process from the definition 1 of the definite integral: f(x) dx = lim Σf(xVx. Compare the result with the n→∞i=1 Hint: i i=1 b result when using FTC part 2. n(n+1) 2 2²² = Σ; i=1 n(n+1)(2n+1) 6 ²i³ = ( n(n+1) 2 Σ i=1 2

2. Evaluate the integral (3x²+2x³)dx using the limiting process from the definition 1 of the definite integral: f(x) dx = lim Σf(xVx. Compare the result with the n→∞i=1 Hint: i i=1 b result when using FTC part 2. n(n+1) 2 2²² = Σ; i=1 n(n+1)(2n+1) 6 ²i³ = ( n(n+1) 2 Σ i=1 2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Evaluate the integral (3x²+2x³)dx using the limiting process from the definition 1 of the definite integral: ff(x) dx = lim Σf(x)Vx. Compare the result with the n→∞⁰ i=1 b a result when using FTC part 2. n n(n+1) Hint: [i = Σ 2 i=1 Σ;” i=1 = n(n+1)(2n+1) 6 2 { ³²³ = (n(n+D)² 2 i=1
Transcribed Image Text:2. Evaluate the integral (3x²+2x³)dx using the limiting process from the definition 1 of the definite integral: ff(x) dx = lim Σf(x)Vx. Compare the result with the n→∞⁰ i=1 b a result when using FTC part 2. n n(n+1) Hint: [i = Σ 2 i=1 Σ;” i=1 = n(n+1)(2n+1) 6 2 { ³²³ = (n(n+D)² 2 i=1
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