Integration by Parts|
Integration by parts is a technique for performing integration by expanding the differential of a product of functions and expressing the original integral in terms of a known integral .
A simple example illustrates the method of Integration by parts.
Partial Fractions..Partial fractions are also covered on webpage laplace Transform -partial fraction
A complicated algebraic fraction can often be reduced to to its equivalent partial fractions such that it allows an integration process to be simplified. A typical example is shown below
Rules for Partial fractions
A simple example of the application of these rules is as follows
The equations are solved for A and B as follows
A second example is provide below
Partial Fractions -Cover up rule
There are many simple cases where the cover up method can be used . This method only applies if the denominator of the original fraction has non-repeated , linear factors. The method is illustrated by the following example.