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Part II:

Suppose that f is a non-negative, continuous function on the interval (a, b] which is unbounded as x a + Look at Fig 55 Let us consider the area under the graph of f and above the x-axis over the interval (a, b] The area of the part of the region over the interval [a + , b], > 0, is

Method public string ToString(IFormatProvider fmtpvdr) public string ToString(string format, IFormatProvider fmtpvdr) public static ushort ToUInt16(decimal v)

y =

Meaning Returns the string representation of the value of the invoking object using the culture-specific information specified in fmtpvdr Returns the string representation of the value of the invoking object using the culture-specific information specified in fmtpvdr and the format specified by format Returns the ushort equivalent of v Any fractional component is truncated An OverflowException occurs if v is not within the range of a ushort Returns the uint equivalent of v Any fractional component is truncated An OverflowException occurs if v is not within the range of a uint Returns the ulong equivalent of v Any fractional component is truncated An OverflowException occurs if v is not within the range of a ulong Returns the whole-number portion of v Thus, it truncates any fractional digits Attempts to convert the numeric string in str into a decimal value If successful, the value is stored in val and true is returned If no conversion takes place, false is returned This differs from Parse( ), which throws an exception on failure Attempts to convert the numeric string in str into a decimal value using the style information provided by styles and the culture-specific format information provided by fmtpvdr If successful, the value is stored in val and true is returned If no conversion takes place, false is returned This differs from Parse( ), which throws an exception on failure

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public static uint ToUInt32(decimal v)

y =

public static ulong ToUInt64(decimal v)

Calculate the area above the x-axis and under the curve y= 1 x ln4/3 x , 0 < x 1/2

public static decimal Truncate(decimal v) public static bool TryParse(string str, out decimal val)

.

public static bool TryParse(string str, NumberStyles styles, IFormatProvider fmtpvdr, out decimal val)

TABLE 21-7 Methods De ned by Decimal (continued)

SOLUTION According to the preceding discussion, this area is equal to the value of the improper integral

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