Techniques of Integration, Part One

Let’s kick off the process of building up a virtual toolkit of techniques to find antiderivatives. In this chapter, we’ll look at the following three techniques:

• the method of substitution (otherwise known as “change of variables”);

• integration by parts; and

• using partial fractions to integrate rational functions.

Then, in the next chapter, we’ll look at some more techniques involving trig functions.

Using the chain rule, we can easily differentiate *e*^{x2} with respect to *x* and see that

The factor 2*x* is the derivative of *x*^{2}, which appears in the exponent. ...

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