## AP Calculus - Limits, Derivatives, and Integrals.

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AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

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Review 6 Name: __________________________________________________ AP Calculus BC Date: ______________________________ Period: _____ Find the area between and . Find the area between , and . (Use a single integral!) Find the volume of the region bounded by , and revolved about the -axis. (Use the method of disks!) Find the volume of the region bounded by , and revolved about the -axis. (Use the method of washers!) Find the volume of the region bounded by from , and revolved about . (Use the method of shells!) Find the arc length for the specified portion of each curve. An object is dropped from a height of 100 feet. Find its velocity when it hits the ground.

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2009?2010 AP BC Calculus First Semester Exam Review Guide I. ?BIG 7? THEOREMS (be able to state and use theorems especially in justifications) Intermediate Value Theorem Extreme Value Theorem Rolle?s Theorem Mean Value Theorem for Derivatives & Definite Integrals FUNDAMENTAL THEOREM OF CALCULUS ? Be sure you remember the 2nd part is called the Total Change Theorem Also, in your justifications, if a problem says it is differentiable at x = a, then the function is continuous at x = a. (Differentiability implies continuity, but not vice-versa.) II. VOCABULARY/KEY CONCEPTS CHAPTER 1: 1. Distinguish the graphs of parent functions without the use of a calculator. (handout) 2. Define an absolute value function as a piecewise function. (pg. 17)

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Integral of v du = uv + integral of udv
mkay cool

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the integral of the function is simply the opposite of a derivative

if you recognize the integral fuction such as y=x^2 you know that the integration is one power higher plus a variable simply y=x^3+a

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