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8.8 Improper Integrals Math 6B Calculus II
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Type 1: Infinite Integrals Definition of an Improper Integral of Type 1 provided this limit exists (as a finite number).
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Type 1: Infinite Integrals provided this limit exists (as a finite number).
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Type 1: Infinite Integrals The improper integrals are called convergent if the corresponding limit exists and divergent if the limit does not exist.
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Type 1: Infinite Integrals
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The Integral of 1/x p
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Type 2: Discontinuous Integrals Definition of an Improper Integral of Type 2 If f is continuous on [a,b) and is discontinuous at b, then if this limit exists (as a finite number)
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Type 2: Discontinuous Integrals b) If f is continuous on (a,b] and is discontinuous at a, then if this limit exists (as a finite number)
![Type 2: Discontinuous Integrals b) If f is continuous on (a,b] and is discontinuous at a, then if this limit exists (as a finite number)](http://images.slideplayer.com/25/7859348/slides/slide_8.jpg "Type 2: Discontinuous Integrals b) If f is continuous on (a,b] and is discontinuous at a, then if this limit exists (as a finite number)")
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Type 2: Discontinuous Integrals
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c) If f has a discontinuity at c, where a < c <b, and both are convergent, then we define
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A Comparison Test for Improper Integrals Suppose that f and g are continuous functions with
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