# Complex Analysis - Contour integration

Not what you're looking for?

Using contour integral methods in the complex plane and the residue theorem.

see attached

Y please give me the full "Y" treatment on this as I want to really understand it Thanks C

##### Purchase this Solution

##### Solution Summary

The expert examines the complex analysis for contour integration.

##### Solution Preview

Please see the attachment for detailed solution.

The integral is:

(1.1)

The integration is over the real axis.

Note that

(1.2)

So:

(1.3)

We can write it as a complex integral:

(1.4)

Or:

(1.5)

Where

(1.6)

In order to take advantage of Cauchy's residue theorem, we would like to find a closed path that includes the real axis and some path that we know the value of the integral on.

Let's look at the first integral

If the real axis is the path and the other yet unknown path is then the closed path is and:

...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### 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.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Solving quadratic inequalities

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

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.