In exercises 51 - 54, identify the roots of the integrand to remove absolute values, then evaluate using the Fundamental Theorem of Calculus, Part 2. The chapter headings refer to Calculus, Sixth Edition by Hughes-Hallett et al. You may also use any of these materials for practice. Your instructor might use some of these in class. To learn more about the free Microsoft Word app, visit the Microsoft store.\sin t\,dt\) Answer \(F(x)=0\) The following is a list of worksheets and other materials related to Math 122B and 125 at the UA. To learn more about the free Microsoft Word Viewer, visit the Microsoft Word website.ĭocx file: You need the Microsoft Word program, the Microsoft Word app, or a program that can import Word files in order to view this file. Download the free Adobe Acrobat Reader for PC or Macintosh.ĭoc file: You need the Microsoft Word program, a free Microsoft Word viewer, or a program that can import Word files in order to view this file. Pdf file: You need Adobe Acrobat Reader (version 7 or higher) to view this file. The video link did not work for the homework so we covered the video material in class. Lesson 7 - FTC with Graphs Notes (DOC 396 KB) USing the fundamental theorem of calculus, interpret the integral JvdtJJCt)dt. Lessons 5-8 - HW from Book Key (5.4) (PDF 1.58 MB) Lesson 5 - FTC Evaluating Integrals (DOCX 142 KB)īasic Anti Derivatives Practice (PDF 11 KB)īasic Antiderivatives Worksheet Key (PDF 530 KB) Lesson 4 - HW from book Key (5.3) (PDF 516 KB) Lesson 4 - Average Value and Integral Rules (DOCX 186 KB) Lesson 3 - HW from book key (5.2) (PDF 491 KB) We know that F( 5) 0, which allows us to compute C. Create the worksheets you need with Infinite Calculus. (We can find C, but generally we do not care. Free Printable Math Worksheets for Calculus Created with Infinite Calculus Stop searching. In worksheet 5.1 you used rectangles to estimate the area under the curve y 4 x2 over the interval 0,2. This simple example reveals something incredible: F(x) is an antiderivative of x2 sinx Therefore, F(x) 1 3x3 cosx C for some value of C. 5.3: The Fundamental Theorem of Calculus. Lesson 3 - Book Pages for HW (PDF 421 KB) Using the Fundamental Theorem of Calculus, we have F (x) x2 sinx. Let's just assume thatf(t) is continuous every- Zu Fix a number calleda. Lesson 3 - Riemann
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