The arclength of y = 4x² - 2 from x=0 to x = 2 is given by: -S₁²₁ OL= L= =√₁² ✓ OL= OL = 1₁₁ v L L-1₁² √² L= √1+8x²dx L= √1+64xdx Using the substitution u = 8x to re-write the integral in terms of u yields: L = '1' / | 8 L= √1+8xdx = √1+64x²dx 8 V1+ u²du √1 +4u²du 1/² √ 8 √1+ udu √1+8udu The value of this integral is: (You may need to use a table or technology to evaluate this integral.)
The arclength of y = 4x² - 2 from x=0 to x = 2 is given by: -S₁²₁ OL= L= =√₁² ✓ OL= OL = 1₁₁ v L L-1₁² √² L= √1+8x²dx L= √1+64xdx Using the substitution u = 8x to re-write the integral in terms of u yields: L = '1' / | 8 L= √1+8xdx = √1+64x²dx 8 V1+ u²du √1 +4u²du 1/² √ 8 √1+ udu √1+8udu The value of this integral is: (You may need to use a table or technology to evaluate this integral.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
Transcribed Image Text:The arclength of y = 4x² - 2 from x=0 to = 2 is given by:
-f²v
OL=
L=
OL=
=√₁² ✓
OL
L=
COL
L=₁² √₁
√1+64xdx
L=
Using the substitution u = 8x to re-write the integral in terms of u yields:
1
L = ' / |
8
=
√1+8xdx
f₁² v
√1+64x²dx
8
√1+8x²dx
√1+ u²du
√1+4u² du
1/² √
8
√1+ udu
√1+8udu
The value of this integral is:
(You may need to use a table or technology to evaluate this integral.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
