Aproximate the following integrals by using the Trapezoidal, Simpsons and Simpsons- 3/8 rules. Use the error formula to find a bound for the error in these integrals, and compare the bound to the actual error. a) b) 1.5 [1³ 21 x² ln x dx fªrs 0 x sin(x) dx d) 0.35 2 124 dx x² 4 0 S³ e³x sin(2x) dx

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 36E
icon
Related questions
Question
Aproximate the following integrals by using the Trapezoidal, Simpsons and Simpsons-
3/8 rules. Use the error formula to find a bound for the error in these integrals, and
compare the bound to the actual error.
a)
b)
1.5
110 2²
S
S x sin(x) dx
x² ln x dx
d)
0.35
2
12
[² eile sin (2x) dx
d
x² - 4
dx
Transcribed Image Text:Aproximate the following integrals by using the Trapezoidal, Simpsons and Simpsons- 3/8 rules. Use the error formula to find a bound for the error in these integrals, and compare the bound to the actual error. a) b) 1.5 110 2² S S x sin(x) dx x² ln x dx d) 0.35 2 12 [² eile sin (2x) dx d x² - 4 dx
Expert Solution
steps

Step by step

Solved in 5 steps with 31 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage