There are certain methods of integration which are essential to be able to use the Tables effectively. These are: substitution, integration by parts and partial fractions. In this chapter we …

The most powerful tool we have, for integrating with pencil and paper and brain, is the method of substitution. To make it work, we have to think of good substitutions— which make the integral …

A Review: The basic integration formulas summarise the forms of indefinite integrals for may of the functions we have studied so far, and the substitution method helps us use the table below …

Integrating the product rule (uv)0 = u0v + uv0 gives the method integration by parts. It complements the method of substitution we have seen last time. As a rule of thumb, always try …

Over the next few sections we examine some techniques that are frequently successful when seeking antiderivatives of functions. Sometimes this is a simple problem, since it will be …

As you work through the problems listed below, you should reference your lecture notes and the relevant chapters in a textbook/online resource. rst-order linear equations by using the …

Integrating rational functions (Sect. 8.4) pm(x) Integrating rational functions, . qn(x) Polynomial division: pm(x) rk (x)