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Answer: Use the Composite Trapezoidal rule with the indicated values of n to approximate

Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden ISBN: 9781305253667 457

Solution for problem 1 Chapter 4.4

Numerical Analysis | 10th Edition

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Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden

Numerical Analysis | 10th Edition

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Problem 1

Use the Composite Trapezoidal rule with the indicated values of n to approximate the following integrals. a. ^ xAnxdx, n 4 b. x i e x dx, nA c. /- 2 dx, n = 6 d. x cosx dx, n 6 o x 2 + 4 ./o 2 /O lx e. / e sin3x dx, = 8 f- / dx, n = o -c2 + 4 5 | /-S-t/S dx, = 8 h. / tanx dx, n =

Step-by-Step Solution:
Step 1 of 3

Lecture 2- Johnson  Factor: o x + 6x + 8  (x+4)(x+2) 2 o x – 64  (x+8)(x-8) o x – 5x -14  (x-7)(x-2) o 4x – 100  4(x – 25)  4(x-5)(x+5)  Difference and Sum of Perfect Cubes (S.O.A.P) 3 3 2 2 o A – B = (A – B) (A + AB + B )  x -64  (x-4)(x + 4x +16) o A + B = (A + B)(A - AB + B ) 2  x – 1 (x+1)(x -x+1) 3  What can you exclude from the domain of x x ≠ 0 3x o x−2 ,x ≠ 2 9x ,x≠3,−6 o x +3x−18  Simplify 2 (x+1 )x−1 ) x −1 → →x≠−1→ x−1 o x +2x+1 (x+1 )x+1 ) x+1 x+3 x

Step 2 of 3

Chapter 4.4, Problem 1 is Solved
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Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

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Answer: Use the Composite Trapezoidal rule with the indicated values of n to approximate