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Consider the following definite integral. L² (3x + (a) Find the general n-rectangle right sum and simplify your answer with sum formulas. (3x + 1) dx (b) Use your answer to approximate the definite integral with n = 100 and n = 1000. n = 100 n = 1000 (c) Take the limit as n → ∞o to find the exact value.

Consider the following definite integral. L² (3x + (a) Find the general n-rectangle right sum and simplify your answer with sum formulas. (3x + 1) dx (b) Use your answer to approximate the definite integral with n = 100 and n = 1000. n = 100 n = 1000 (c) Take the limit as n → ∞o to find the exact value.

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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Consider the following definite integral. L² (3x + 3 (a) Find the general n-rectangle right sum and simplify your answer with sum formulas. (3x + 1) dx (b) Use your answer to approximate the definite integral with n = 100 and n = 1000. n = 100 n = 1000 (c) Take the limit as n → ∞o to find the exact value.
Transcribed Image Text:Consider the following definite integral. L² (3x + 3 (a) Find the general n-rectangle right sum and simplify your answer with sum formulas. (3x + 1) dx (b) Use your answer to approximate the definite integral with n = 100 and n = 1000. n = 100 n = 1000 (c) Take the limit as n → ∞o to find the exact value.
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