Integration of Rational functions: Example2

Evaluate

Solution: First let us find the antiderivative

The main idea is first try to come up with the derivative of in the top (or the numerator). Since , we have

Hence

Since we have (see the table of Basic Formulas for Integrating Rational Functions)

and

we get

Therefore, we have

Easy calculations give

[Calculus] [Integration of Rational Functions] [More Examples] [Geometry] [Algebra] [Trigonometry ] [Differential Equations] [Complex Variables] [Matrix Algebra]

S.O.S MATHematics home page

Copyright © 1999-2004 MathMedics, LLC. All rights reserved.
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA