## Problems on Techniques of Integration

The trigonometric functions and are nice functions since their derivatives and antiderivatives are easy to obtain. So for the integration by parts, these functions have the same behavior whether we differentiate them or take their antiderivatives. Therefore the focus should be on the other function involved in the integration. In this case, we must differentiate because its derivative gives the constant 1.

Set

Then

Since

we get

which implies

It is a common mistake to forget the constant .

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