MAT 1235 Calculus II Section 7.8 Improper Integrals I

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Presentation transcript:

MAT 1235 Calculus II Section 7.8 Improper Integrals I

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

Basic Idea

Probability & Statistics

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

Preview

Fundamental Theorem of Calculus Part 2

Type I

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

Example 1

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

Example 2

Remarks

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

Example 3

Improper Integral of Type I

Example 4