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(MTH 250) Lecture 19 Calculus. Previous Lecture’s Summary Definite integrals Fundamental theorem of calculus Mean value theorem for integrals Fundamental.

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Presentation on theme: "(MTH 250) Lecture 19 Calculus. Previous Lecture’s Summary Definite integrals Fundamental theorem of calculus Mean value theorem for integrals Fundamental."— Presentation transcript:

1 (MTH 250) Lecture 19 Calculus

2 Previous Lecture’s Summary Definite integrals Fundamental theorem of calculus Mean value theorem for integrals Fundamental theorem of calculus II Integrating a rate of change

3 Today’s Lecture Recalls Substitution for definite integrals Integration by parts Area bounded by curves

4 Theorem: Theorem: Recalls

5 Recalls

6 Recalls

7 Examples: Solution: Recalls

8 Recalls

9 Recalls

10 Substitutions for definite integrals

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21 Integration by parts

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32 Area bounded by curves

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36 Lecture Summary Substitution for definite integrals Integration by parts Area bounded by curves

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