CALCULUS Understanding
Its Concepts and Methods
CALCULUS Understanding
Its Concepts and Methods
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
formula
The functions f and g are the two parts. The part f is differentiated, the part g is integrated.
Sometimes the formula is written
where u = f(x) and v = G(x), so du = f'(x) dx and dv = g(x) dx.
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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.