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SOLUTION The integrand is unbounded as x tends to 1 Therefore we evaluate separately the two improper integrals

The alias is specified first, followed by the namespace resolution operator, followed by the name of the namespace that contains the ambiguous class, followed by the dot operator and the class name This same general form works with other extern aliases The output from the program is shown here:

Zero Coef cient Terms Zero derivatives (at 0 = 0) None y y , y y , y , y Powers in remaining terms 1 2, 3 3, 4, 5 4, 5, 6, 7

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art II explores the C# library As explained in Part I, the class library used by C# is the NET Framework class library As a result, the material in this section applies not only to C#, but to the NET Framework as a whole The NET Framework class library is organized into namespaces To use a portion of the library, you will normally import its namespace by including a using directive Of course, you can also fully qualify the name of the item with its namespace name, but most often, it is simply easier to import the entire namespace The NET library is very large, and it is beyond the scope of this book to examine each part of it (A complete description would easily fill a very large book!) Instead, Part II examines the core elements of the library, many of which are contained in the System namespace Also discussed are the collection classes, multithreading, and networking

CHAPTER 21 Exploring the System Namespace CHAPTER 22 Strings and Formatting CHAPTER 23 Multithreaded Programming CHAPTER 24 Collections, Enumerators, and Iterators CHAPTER 25 Networking Through the Internet Using SystemNet CHAPTER 26 Use SystemWindowsForms to Create Form-Based Windows Applications

1 4

These eight conditions establish the general polynomial y = C0 + C1q + C2q 2 + C3q 3 + C4q 4 + C5q 5 + C6q 6 + C7q 7 In dealing with high-degree polynomials, simpli cations can be made if we realize that dny = 0 Subsequently, the coef cient for that derivative is Cn = 0 This is when q = 0, dq n summarized in Table 41 for polynomials thus far derived for the DRD event For the 4-5-6-7 polynomial, C0 = C1 = C2 = C3 = 0 The remaining conditions at q = 1 give the following equations: C4 + C5 + C6 + C7 = 1 4C4 + 5C5 + 6C6 + 7C7 = 0 12C4 + 20C5 + 30C6 + 42C7 = 0 24C4 + 60C5 + 120C6 + 210C7 = 0 Solving these simultaneously for the 4-5-6-7 polynomial yields y = 35q 4 - 84q 5 + 70q 6 - 20q 7 y = 140q 3 - 420q 4 + 420q 5 - 140q 6 y = 420q 2 - 1680q 3 + 2100q 4 - 840q 5 y = 840q - 5040q 2 + 8400q 3 - 4200q 4 (45)

his chapter explores the System namespace System is a top-level namespace of the NET Framework class library It directly contains those classes, structures, interfaces, delegates, and enumerations that are most commonly used by a C# program or that are deemed otherwise integral to the NET Framework Thus, System defines the core of the library System also contains many nested namespaces that support specific subsystems, such as SystemNet Several of these subsystems are described later in this book This chapter is concerned only with the members of System, itself

In addition to a large number of exception classes, System contains the following classes:

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