From calculus, we know the volume of an irregular solid can be determined by evaluating the following integral: Where A(x) is an equation for the cross-sectional area of the solid at any point x. We know our bounds for the integral are x=1 and x=4, as given in the problem, so now all we need is to find the expression A(x) for the area of our solid.
1) Watch & note Brightstorm’s AP Calculus video: Volume – Cross Sections to the 13:43 mark only. 2) Complete the attached Pre-Quiz: Square & Rectangular Cross Sections Watch Spencer Munroe (APC '14) explain #1 from Pre- Quiz here. Table of Contents and Introduction: General Overview of Calculus Chapter 1: Review of Derivatives Chapter 1 pdf 1.1: The Power and Exponential Rules with the Chain Rule; 1.2: Trig, Trig Inverse, and Log Rules; 1.3: Local Linearity, Euler’s Method, and Approximations.
7.8 Volumes With Cross Sectionsap Calculus 2nd Edition
Calculus Chapters 7 & 8
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