integration by parts
When we want to integrate a product of two functions, it is sometimes preferable to simplify the integrand by integrating one of the functions and differentiating the other. This process is called integrating by parts, and is done in the following way, where and are functions of .
We can now integrate both sides with respect to to get
which is just integration by parts rearranged.
Example: We integrate the function : Therefore we define and . So integration by parts yields us:
where is an arbitrary constant.
|Title||integration by parts|
|Date of creation||2013-03-22 12:28:33|
|Last modified on||2013-03-22 12:28:33|
|Last modified by||mathwizard (128)|