Definite integral - Study guides, Class notes & Summaries
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Spring 2008, Math 1242 Final Exam
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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...
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MATH 1242 FINAL EXAM SPRING 2007
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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...
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Definition of a Definite Integral | Calculus II Notes
- Summary • 5 pages • 2023
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Defines Riemann sums, summations, and definite integrals with examples and diagrams
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Practical Nursing Handbook 2023- 2024
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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....
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Unit 1 - Foundations of Government questions and answers verified and updated.
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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...
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CALCULUS FINAL EXAM fully solved & updated
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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...
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Calc 1 for Engineering - Class Notes
- Class notes • 70 pages • 2023
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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
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Integration Note Definite Integral
- Class notes • 18 pages • 2022
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Integration Note Definite Integral 
	Concepts covered: 
1.Definite integral 
2.Review of integration rules 
3.Rules of definite integral 
4.Pastpaper practice
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calc 2 test 3 fully solved and update
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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 ...
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Properties of Definite Integrals | Calculus II Notes
- Summary • 4 pages • 2023
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Highlights the properties of definite integrals and provides well-explained examples and diagrams
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