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Approximate the following integrals using the following methods. ·[²L²(4-x² - y²)dydx a. Composite Trapezoidal Rule with n=11 b. Boole's Rule c. Solve the integral analytically, compare and comment on your answers.

Approximate the following integrals using the following methods. ·[²L²(4-x² - y²)dydx a. Composite Trapezoidal Rule with n=11 b. Boole's Rule c. Solve the integral analytically, compare and comment on your answers.

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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Approximate the following integrals using the following methods. a. ² 1² 1² (₁-x² - y²), - y²)dydx a. Composite Trapezoidal Rule with n=11 b. Boole's Rule c. Solve the integral analytically, compare and comment on your answers.
Transcribed Image Text:Approximate the following integrals using the following methods. a. ² 1² 1² (₁-x² - y²), - y²)dydx a. Composite Trapezoidal Rule with n=11 b. Boole's Rule c. Solve the integral analytically, compare and comment on your answers.
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