cbicon.png CALCULUS Understanding Its Concepts and Methods

Home Contents Index

Integration by parts

Integration by parts is a method for integrating the product of two functions f(x)  and g(x). First find G(x)  so that G'(x) = g(x). Then apply the formulaMATH

The functions f and g are the two parts. The part f is differentiated, the part g is integrated.

Sometimes the formula is written

MATH

where u = f(x) and v = G(x), so du = f'(x) dx  and dv = g(x) dx.


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z


Change of variable

Partial fractions

Substitution

Trigonometric substitution


Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

Published by MacKichan Software, Inc. Home Contents Index Top of page Hosted by ziaspace.com