 # Mathematics Operations

### Mathematical Operations

 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. The requirement is to integrate the product x.cos(x)dx 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. 