Definite integral - Study guides, Revision notes & Summaries

Essential Calculus 2nd Edition 2297 0875 0, 3, 4, 0, 2467, 3011, 9067, 6609 1: Functions and Limits 1.1: Functions and Their Representations 1.2: A Catalog of Essential Functions 1.3: The Limit of a Function 1.4: Calculating Limits 1.5: Continuity 1.6: Limits Involving Infinity 2: Derivatives 2.1: Derivatives and Rates of Change 2.2: The Derivative as a Function 2.3: Basic Differentiation Formulas 2.4: The Product and Quotient Rules 2.5: The Chain ...

70 pages of organized handwritten notes for calc 1. Topics include: - polynomials, exponential, logarithmic, trigonometric - operations on functions, curve sketching - trigonometric identities - inverse functions - derivatives, rules of differentiation - Mean Value Theorem - Newton's Method - indeterminate forms - L'Hopital's rule, applications - integrals, approximations - Riemann definite integral

MATH 1242 FINAL EXAM Spring 2006 Part I (MULTIPLE CHOICE, NO CALCULATORS). 1. Compute R   3 2x + − 4 sin x dx. x 2 2 3 2x + − 4 sin x + C x 3 (b) 4x − 2 − 4 cos x + C x 2 (c) x3 + 3 ln |x| − 4 cos x + C 3 2 3 (d) x + 3 ln |x| + 4 cos x + C 3 2 (e) x3 + 3 ln |x| − 2 sin2 x + C 3 1 (a) 2  2. Compute 2 R1 −1 2 xex dx. (a) 2 (b) 2e (c) e 1 1 1 1 (d) e 3 − e− 3 2 2 (e) 0 3. Which of the following definite integrals gives the length o...

MATH 1242 FINAL EXAM FALL 2010 PART I (Calculators Not Allowed) Z 1 1. Evaluate the integral (8x − 3) dx. 0 7 (c) 1 3 Z 2 2. Evaluate the integral |3x − 3| dx. (a) 7 9 (b) (d)2(e)3 (d)4(e)5 0 (a) 1 (b) 2 (c) Z 3 1 + cos2 x dx. cos2 x 3. Evaluate the integral (a) 1+tan x+C (b) x+tan x+C Z 2 4. Evaluate the integral 4x ln x dx. (c) x tan x+C(d) x sec x+C (e) x+sec x+C (c)8 ln 2 − 1(d)4 ln 2 − 1(e)4 ln 2 − 2 (c)2e2 − 2e−1(d)2e4 − 2e(e)2e4 − ...

Spring 2008, Math 1242 Final Exam Part I (MULTIPLE CHOICE, NO CALCULATOR PERMITTED) 1. Compute
3x3 + x22 − 4 cos x dx. R
2 (A) 21 3x3 + x22 − 4 cos x + C (B) 9x2 + 2 ln x2 − 4 sin x + C (C) 43 x4 − x2 − 4 sin x + C (D) 34 x4 − x2 + 4 sin x + C (E) 43 x4 − x2 − 2 cos2 x + C 2. Compute R2 x 0 xe dx. (A) 2e4 (B) e2 + 1 (C) 12 e4 − 21 (D) 12 e4 (E) 21 e2 − 12 13. Which of the following definite integrals gives the length of the curve y = tan x over the in...

PN Adjunct Instructors: Patricia Roysden FNP Instructor Nicole Britt RN Instructor Debor ah Hall Turne r, RN Instru ctor Sheil a Floyd, RN Clinic al Instru ctor IMPORTANT NUMBERS Tennessee College of Applied Technology (931) 484-7502 Administration: Cliff Wightman, President ....................................... (931) 444-1315 Stacy Johnson.......................................................... (931) 444-1288 Front Office Staff: Danielle Sutton, Finance and H....

Unit 1 - Foundations of Government questions and answers verified and updated. A political community that occupies a definite territory and has an organized government with the power to make and enforce laws without the approval from any higher authority - correct A type of government in which all key powers are given to the national or central government - correct ry system A system of government in which the power and authority to rule are in the hands of a sing...

Defines Riemann sums, summations, and definite integrals with examples and diagrams

MATH 1242 FINAL EXAM SPRING 2007 PART I (Calculators Not Allowed) 1. Calculate Z  3 sin x + 2x + x  dx. (a) − cos x + x + ln | x| + C (b) − cos x + x2 + 3 ln | x| + C x3 3 + +C 3 x 2 (d) − sin x + x + 3 ln | x| + C 3 (e) sin x + 2 − 2 + C x Z π x cos(x2 ) dx. 2. Calculate the definite integral (c) − cos x + 0 (a) 2(sin π)2 sin(π 3 ) 3 cos(π 2 ) (c) 2 sin(π 2 ) (d) 2 (e) sin(π 2 ) (b) 3. Which of the following definite integrals gives the le...

how to test for convergence in a sequence - answer-take limit, anything but infinity is convergence Geometric Series Equation - answer-∞∑n=0 a(r)^n or ∞∑n=1 a(r)^n-1 Sum of Geometric Series - answer-a₁/1-r Integral test procedure/requirements - answer-Take definite integral of a_n from 1 to ∞, if the answer is anything but infinity then it converges. Requirements are that the series must be continuous, positive, and decreasing. when does a p series converge - answer-when ...