Partial fraction decomposition is used to convert a fraction with multiple factors in the denominator into a sum of terms, with one term for each factor and a constant in the numerator. Doing so simplifies integration and differentiation.









Example:



             

           



Note: If poles of X (t) are of multiple order, then include a term for each order; i.e., if (t-1)² is in the denominator (a pole), then include both (t-1) and (t-2)² terms.