4. Consider the integral where tanh(r) - (a) (b) (c) I₁ ex = - e ex + e-x In an attempt to study the convergence of I, we consider the two integrals 0 | [1 – tanh(z)] e® da ∞ I = | 1 – tanh"(z)] e* dư, Does I₁ converge or diverge? Does I2 converge or diverge? Does I converge or diverge? and 12 = ^ [1 – tanh"(z)] e* dar. − 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Please give me answer very fast in 5 min mon
4. Consider the integral
where tanh(2)
(a)
(b)
(c)
In an attempt to study the convergence of I, we consider the two integrals
0
| [1 – tanh?(a)] e" da
∞
I₁
ex
ex + ex
=
I =
- | [ – tanh(z)] e® dư,
∞
Does I₁ converge or diverge?
Does I2 converge or diverge?
Does I converge or diverge?
and I2
=
∞
| [1 – tanh?(a)] e* da.
Transcribed Image Text:4. Consider the integral where tanh(2) (a) (b) (c) In an attempt to study the convergence of I, we consider the two integrals 0 | [1 – tanh?(a)] e" da ∞ I₁ ex ex + ex = I = - | [ – tanh(z)] e® dư, ∞ Does I₁ converge or diverge? Does I2 converge or diverge? Does I converge or diverge? and I2 = ∞ | [1 – tanh?(a)] e* da.
Expert Solution
steps

Step by step

Solved in 4 steps with 20 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,