Mathematics Homework Solutions
Problem
#10207

Evaluate an improper integral involving trig functions using Jordan's Lemma.

Use residues to evaluate this improper integral

Int(from 0 to inf)[cos(ax)/(x^2+1)]dx (a>0)

(See attachment for better description.)

Attached file(s):
Attachments
Q7.doc  View File

Attachment Content Summary (Note: view attachment at the above link before purchasing. Actual attachment content may vary slightly from that shown below.)

Q7.doc
Use residues to evaluate this improper integral

.

Solution Summary

A step-by-step solution walks the student through the process of evaluating improper integrals using the method of residue.  Jordan's Lemma is used in finding the solution.  A word file is attached.

Solution
What is this?
By OTA - Overall OTA Rating
Peter Link, MA - 4.6/5
Purchase Cost Now
$2.19 CAD
Included in Download
  • Plain text response
  • Attached file(s):
    • A7.doc
Why you can trust BrainMass.com
  • Your Information is Secure
  • Best Online Academic Help Service
  • Students find real academic Success
Related Solutions
  • Jordan's Lemma and Loop Integrals - Without evaluating the improper integrals and find the numerical value q of their quotient by considering the loop integral where is the semi-circular loop indented at the origin. ...
  • Residues - Evaluate the improper integrals using residues theorem.
  • Residues : Improper Integrals - Use residues to evaluate the improper integrals (see attachment).
  • Residues : Improper Integrals - Use residues to evaluate the improper integrals {see attachment}.
  • Evaluating an Integral using Jordan's Lemma - The problem is to find the value of the integral from 0 to INF of [(ln x)^2]/(x^2 +9). We are to use f(z)= [(Log z)^2]/(z^2 +9), where -pi/2 < Log z < 3pi/2. We are to use the curve C from -R to ...
Browse