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Unformatted text preview: Scott B. Roberts Writing Assignment Two The phrase &quot;improper integral&quot; means that a definite integral contains intervals that are either infinite, or the function has infinite discontinuity. They are also known as an infinite integral. In other words, an integral is stated to be improper if A) The interval of integration is unbounded and, or B) The function f(x) has an infinite discontinuity at some point C in [a,b]. If the integral has an infinite interval, infinity or negative infinity, then the integral is said to be improper. Integrating a function that has a vertical asymptote, would mean that the integral contains infinite discontinuity. For example, if you have (x+2) in the denominator, than the integral is discontinuous at -2, which would cause the denominator to be zero. So this integral would be considered improper. We evaluate improper integrals by substituting in a dummy variable in place of the infinite...
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This note was uploaded on 09/20/2008 for the course MATH 151 taught by Professor Bray during the Spring '07 term at Mesa CC.
- Spring '07