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MAT 1235 Calculus II Section 7.1 Integration By Parts

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Presentation on theme: "MAT 1235 Calculus II Section 7.1 Integration By Parts"— Presentation transcript:

1 MAT 1235 Calculus II Section 7.1 Integration By Parts http://myhome.spu.edu/lauw

2 Homework and … WebAssign 7.1 (17 problems, 38 min.)

3 Highly Experimental... Battle “Group-lactica” Sign up by Wednesday!!! Criteria: On average, your study group has the highest increase in score in the second exam. Award: bonus points equal to the 1.0 x average increase in your group to all members in the group. (Higher multiplier possible for dramatic increase.) Talk to me if you are interested. Must have at least 3 groups to participate. Group size = 3 – 4 students.

4 Exam II Be sure to look at the quiz solutions. If you have questions, resolve them ASAP. Do not wait until the exam day to ask that question. Get help before it is too late. Exam II is coming up in 8 days.

5 Preview The reverse of the product rule

6 Product Rule

7

8 Definition of Antiderivatives

9 Rationale The integral on the right hand side is easier to evaluate than the one on the left hand side Easier Difficult

10 Rationale The integral on the right hand side is easier to evaluate than the one on the left hand side Easier Difficult

11 Alternative Form

12 Integration By Parts

13 Example 1

14 Example 1(Analysis)

15

16

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18 Example 1

19 What if?

20 Example 1 What if?

21 Example 2

22 Expectations All supporting steps are required and done on the right side.

23 Example 3

24 Example 4


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