2016 - 17 AP CALCULUS BC REVIEWS OF DIFFERNTIAON AND INTEGRATION TECHNIQUES

This Assignment is due on the first day of school.

Use a separate piece of paper to do All the Even Numbers. You must show complete work leading to your answer.

Note, it is very important to me that my students take their assignments seriously and do their work neat, legible,

complete, & on time. This assignment may seem long for some students; however the purpose of this assignment is

to make extra time for learning & reviewing more challenging concepts during the year prior to the AP Exam. Also

this assignment offers good practice to refresh or relearn all the necessary skills and techniques concerning

differentiation and integration that we may need to use in the new chapters of Calculus BC.

Your first Test is at the end of the first week of school covering various types of differentiation and integration

techniques. Then we will proceed to study the brand new BC lessons which are Chapters 8, 9, & 10. After we

thoroughly study, explore, and review these chapters, we will resume reviewing all the Calculus AB chapters and

any section that was omitted in Calculus AB.

Edited Version of Summer HW! (July 5th, 2016) (No More Sec. 8.1 and 8.3; also a few problems in certain sections have been crossed out.)

2016 - 17 AP CALCULUS BC REVIEWS OF DIFFERNTIAON AND INTEGRATION TECHNIQUES

2016 - 17 AP CALCULUS BC REVIEWS OF DIFFERNTIAON AND INTEGRATION TECHNIQUES

2016 - 17 AP CALCULUS BC REVIEWS OF DIFFERNTIAON AND INTEGRATION TECHNIQUES

2016 - 17 AP CALCULUS BC REVIEWS OF DIFFERNTIAON AND INTEGRATION TECHNIQUES

2016 - 17 AP CALCULUS BC REVIEWS OF DIFFERNTIAON AND INTEGRATION TECHNIQUES

2016 - 17 AP CALCULUS BC REVIEWS OF DIFFERNTIAON AND INTEGRATION TECHNIQUES

2016 - 17 AP CALCULUS BC REVIEWS OF DIFFERNTIAON AND INTEGRATION TECHNIQUES

2016 - 17 AP CALCULUS BC REVIEWS OF DIFFERNTIAON AND INTEGRATION TECHNIQUES

2016 - 17 AP CALCULUS BC REVIEWS OF DIFFERNTIAON AND INTEGRATION TECHNIQUES

7.6 The Natural Exponential Function

2016 - 17 AP CALCULUS BC REVIEWS OF DIFFERNTIAON AND INTEGRATION TECHNIQUES

7.7 The Natural logarithmic Function

2016 - 17 AP CALCULUS BC REVIEWS OF DIFFERNTIAON AND INTEGRATION TECHNIQUES

In Sec 8.2, You will need to use Power Reducing Identities AND Product to Sum Identities of Trig to work things

out easier and in simpler form.

Power-Reducing Identities Product to Sum Formulas

2 1 cos 2sin

2

uu

1sin sin cos cos

2A B A B A B

2 1 cos 2sin

2

uu

1cos cos cos cos

2A B A B A B

2 1 cos 2

tan1 cos 2

uu

u

1sin cos sin sin

2A B A B A B

1

cos sin sin sin2

A B A B A B