# Integral from 0 to infinity of dx/(x^4 + x^2 + 1)

Not what you're looking for?

Evaluate the Integral from 0 to infinity of dx/(x^4 + x^2 + 1).

##### Purchase this Solution

##### Solution Summary

A detailed solution is given regarding the integral from 0 to infinity.

##### Solution Preview

We can compute the integral:

K = Integral from 0 to infinity of dx/(x^4 + x^2 + 1)

as follows. The integrand is an even function of x, so we have:

2 K = Integral from minus infinity to infinity of dx/(x^4 + x^2 + 1)

We can evaluate this by considering the contour integral of dz/(z^4 + z^2 + 1) over the contour that starts at -R on the real axis and moves to R along the real axis and then we take a counterclockwise half circle with center the origin and radius R back to minus R. The contour will then enclose the poles in the upper half ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Multiplying Complex Numbers

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

##### Probability Quiz

Some questions on probability

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Graphs and Functions

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

##### Exponential Expressions

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