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р 1+16x² Graph the function f(x)=- 3 " where p is a unique number assigned by the tutor. P= 1.2 р -dx using: 1+16x² Approximate the integral (i) Trapezoidal Rule for n=-6(subintervals) (ii) Simpson's Rule for n=6(subintervals) (iii) Find the exact value of the integral

р 1+16x² Graph the function f(x)=- 3 " where p is a unique number assigned by the tutor. P= 1.2 р -dx using: 1+16x² Approximate the integral (i) Trapezoidal Rule for n=-6(subintervals) (ii) Simpson's Rule for n=6(subintervals) (iii) Find the exact value of the integral

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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Graph the function f(x)=- Approximate the integral р 1+16x²¹ 3 where p is a unique number assigned by the tutor. P= 1.2 P dx using: +16x² (i) Trapezoidal Rule for n=6(subintervals) (ii) Simpson's Rule for n=6(subintervals) (iii) Find the exact value of the integral (iv) Compare the error of trapezoidal rule and Simpson's rule. (v) For what value of n the error will be less than 2.3×10¯ª in: (a) Trapezoidal Rule (b) Simpson's rule
Transcribed Image Text:Graph the function f(x)=- Approximate the integral р 1+16x²¹ 3 where p is a unique number assigned by the tutor. P= 1.2 P dx using: +16x² (i) Trapezoidal Rule for n=6(subintervals) (ii) Simpson's Rule for n=6(subintervals) (iii) Find the exact value of the integral (iv) Compare the error of trapezoidal rule and Simpson's rule. (v) For what value of n the error will be less than 2.3×10¯ª in: (a) Trapezoidal Rule (b) Simpson's rule
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