After a review of the basic properties of the Riemann integral, each chapter is devoted to a particular technique of elementary integration. Thorough explanations and plentiful worked examples prepare …

Thematerialpresentedinthisvolumedealswithoneofthemajorbranches ofcalculusknownastheintegralcalculus–theotherbeingthedifferential,with …

That is, we should attempt to write down the parabola y = ax2 + bx + c through these points and then integrate it, and hope that the result is fairly simple. Although the algebra involved is messy, this …

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 will survey these …

Even though this formula expresses one integral in terms of a second integral, the idea is that the second integral, ́ F(x)g′(x) dx, is easier to evaluate. The key to integration by parts is making the right …

As a rule of thumb, always try rst to 1) simplify a function and integrate using known functions, then 2) try substitution and nally 3) try integration by parts.

There are two major ways to manipulate integrals (with the hope of making them easier).