Definite integral - Study guides, Class notes & Summaries

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...

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...

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

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...

evaluate the integral 2/1, ln(x)/x dx - answer-(ln2)^2/2 consider the function f(x)=x^4-4x^3. which of the following is NOT true - answer-f has a local extrema at x=0 and x=3 find the work done by a force F=sqroot 2x+1 N to move an object along a straight path from a distance of 0 meters to a distance of 4 meters - answer-26/3 J an object is moving along the x-axis. Let s(t), v(t) and a(t) be functions giving the position, the velocity, and the acceleration of the object at time t. whic...

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

Integration Note Definite Integral  Concepts covered: 1.Definite integral 2.Review of integration rules 3.Rules of definite integral 4.Pastpaper practice

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 ...

Highlights the properties of definite integrals and provides well-explained examples and diagrams