## Problems on Techniques of Integration

We have a definite integral which depends on the integer The fundamental formula
will be very useful. We have

In order to evaluate
, we will use the integration by parts technique. Since the derivative of is
, we set

Then

Since

we get

Since and
, we get

So

which implies

This is the recurrent formula. In particular, the first integrals and , will give all the integrals , for For example, we have

If you prefer to jump to the next problem, click on **Next Problem **
below.

**
**

**
[Next Problem]
[Matrix Algebra]
**** **
[Trigonometry]
[Calculus]
[Geometry]
[Algebra]
[Differential Equations]
[Complex Variables]

S.O.S MATHematics home page

Do you need more help? Please post your question on our
S.O.S. Mathematics CyberBoard.

*Mohamed A. Khamsi*

Copyright © 1999-2017 MathMedics, LLC. All rights reserved.

Contact us

Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA

users online during the last hour