Tabular integration by parts the best short cut to perform integration

This suggested method is applicable to all problems that can be integrated by Engineering students are required to know too much math, they also need to master methods of computing integrations analytically, i.e., integrating by parts. Integrating by parts using the (shortcut) or tabular integration makes integration clear, neat, and accurate. The method has been known for a long time; however no one seems to give it its true value. In this research, the researcher introduced the method after doing the needed modifications so it may be applicable for all math problems which can be integrated by parts. From the experience of teaching calculus and other advanced math courses, the researcher found out that student who used (TIBP)method were more accurate and faster in the exams if compared with those who used the traditional method, Integration by parts is important to all scientists and engineers as well as to mathematicians. Comparing integration by parts using the traditional method is considered to be long, misleading, and sometimes hard for average and good students, especially if it had negative signs and fractions. The tabular integration technique is suggested as an alternative method to ease solving problems and to allow one to perform successive integration by parts on integrals of the parts, and it also can be used to prove some theorems such as Taylor Formula, Residue Theorem for Meromorphic Functions and, Laplace Transformation theorem, as well as evaluating the integral of the product of three functions This method is fast, feasible, and applicable, it strengthens students’ confidence in their work.