ABSTRACT
The representation of functions by Taylor series provides a powerful tool for reducing certain computations like the evaluation of integrals to simple algebraic operations. As an example, consider the recalcitrant problem of finding ∫ 0 x sin ( t ) t d t . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315152721/7eeee3ed-efa4-434d-8da2-13dce29a52aa/content/eq1720.tif"/>
