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MAT 1235 Calculus II Section 7.8 Improper Integrals I

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Presentation on theme: "MAT 1235 Calculus II Section 7.8 Improper Integrals I"— Presentation transcript:

1 MAT 1235 Calculus II Section 7.8 Improper Integrals I http://myhome.spu.edu/lauw

2 HW WebAssign 7.8 Part I (11 problems, 50 min.) Quiz: 7.7, 7.8 I

3 Basic Idea

4 Probability & Statistics

5 Other Applications Laplace Transform to solve Differential Equations (MAT 3237) Physics (QM)

6 Preview

7

8 Fundamental Theorem of Calculus Part 2

9

10 Type I

11 Improper Integral of Type I The integral is convergent if the limit exists. Otherwise, it is divergent.

12 Example 1

13 Remarks Must have the limit notations Can be divide into 2 steps

14 Example 2

15 Remarks

16 Use in 7.8 Part II (Comparison Theorem) Use in 11.3

17 Example 3

18 Improper Integral of Type I

19 Example 4

20


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