# Evaluating an Integral using Jordan's Lemma

Not what you're looking for?

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 -p along the real axis, -p to p around 0, p to R along the real axis, and the curve Cr from 0 to pi.

I am having several problems with this one, including:

**finding the residue at 3i.

**figuring out how to set up and equate the four integrals to 2pi(i) times the residue at 3i.

##### Purchase this Solution

##### Solution Summary

An integral is evaluated using Jordan's Lemma. The solution is detailed and well presented. A diagram is included.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Probability Quiz

Some questions on probability

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts