I. INSTRUCTION: Select the correct answer for each of the following questions. 1. In the equation: S f(x)dx = F(x) + C, what is f? A. variable of integration B. antiderivative C. integrand D. constant of integration 2. In the equation:S f(x)dx = F(x) + C, what is F? A. variable of integration C. integrand D. constant of integration B. antiderivative 3. In the equation:S f(x)dx = F(x) + C, what is dx? A. variable of integration B. antiderivative C. integrand D. constant of integration

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
icon
Related questions
Question
Answer the following. Write the letter of the correct answer. Show your solution.
I. INSTRUCTION: Select the correct answer for each of the following questions.
1. In the equation: S f(x)dx = F(x) + C , what is f?
A. variable of integration
B. antiderivative
C. integrand
D. constant of integration
2. In the equation: S f(x)dx = F(x) + C, what is F?
A. variable of integration
C. integrand
D. constant of integration
B. antiderivative
3. In the equation: S f(x)dx = F(x) + C, what is dx?
A. variable of integration
B. antiderivative
C. integrand
D. constant of integration
4. In the equation: S f(x)dx = F(x) + C , what is C?
A. variable of integration
B. antiderivative
C. integrand
D. constant of integration
5. In the equation: S f(x)dx = F(x)+ C, what is F(x) + C?
A. variable of integration
B. particular antiderivative
C. antiderivative
D. general antiderivative
6. What is the antiderivative of 4x3 + 3x²?
A. 12x3 + 6x2 + C
B. 4x* + 3x3 + C
C. 12x? + 6x + C
D. x* + x3 + C
7. What is the antiderivative of 2x – 2?
A. -x2 + 2x
B. x2 – 2x + C
C. x² + 2x
D. -x? – 2x + C
8. Determine the antiderivative of .
A. 금+C
B. +C
C.=
D.
6x5
9. Determine S 4Vx dx.
A. x-3/2 + C
B.r-/2 + C
c.x2 + C
D.x/2 + C
10. Find the integral of
(x²+4)3/2°
A.
V4+x2
+ C
C. *
D.
+ C
V4+x2
11. Determine S 2(5)*.
5x
+ C
B. 10+ C
C. 2+ C
D. 10 10
A. 2
+ C
In 5
In 5
In 10
12. What is the antiderivative of e* + 2*?
C. e* -+
+ C
In 2
2*
В.-ех +
In 2
A. e* +
In 2
D. -e* -
+C
I 2
13. Evaluate f cos*x sin x dx
A.
Scoss, +C
С. В.
D. m
Scos*x
+ C
+ C
+C
5sin5x
5sin x
14. Evaluate ( Sin x dr
cos?x
C. sec x +
² + C
A. sec x – 2x² + C
B. sec x + 2x2 + C
D. sec x -
15. Evaluate f e sin2x cos 2x dx
A. 2ecos 2x + C
1
C. 2esin 2x
В.
Zecos 2x + C
D.
Zesin 2x +C
Transcribed Image Text:I. INSTRUCTION: Select the correct answer for each of the following questions. 1. In the equation: S f(x)dx = F(x) + C , what is f? A. variable of integration B. antiderivative C. integrand D. constant of integration 2. In the equation: S f(x)dx = F(x) + C, what is F? A. variable of integration C. integrand D. constant of integration B. antiderivative 3. In the equation: S f(x)dx = F(x) + C, what is dx? A. variable of integration B. antiderivative C. integrand D. constant of integration 4. In the equation: S f(x)dx = F(x) + C , what is C? A. variable of integration B. antiderivative C. integrand D. constant of integration 5. In the equation: S f(x)dx = F(x)+ C, what is F(x) + C? A. variable of integration B. particular antiderivative C. antiderivative D. general antiderivative 6. What is the antiderivative of 4x3 + 3x²? A. 12x3 + 6x2 + C B. 4x* + 3x3 + C C. 12x? + 6x + C D. x* + x3 + C 7. What is the antiderivative of 2x – 2? A. -x2 + 2x B. x2 – 2x + C C. x² + 2x D. -x? – 2x + C 8. Determine the antiderivative of . A. 금+C B. +C C.= D. 6x5 9. Determine S 4Vx dx. A. x-3/2 + C B.r-/2 + C c.x2 + C D.x/2 + C 10. Find the integral of (x²+4)3/2° A. V4+x2 + C C. * D. + C V4+x2 11. Determine S 2(5)*. 5x + C B. 10+ C C. 2+ C D. 10 10 A. 2 + C In 5 In 5 In 10 12. What is the antiderivative of e* + 2*? C. e* -+ + C In 2 2* В.-ех + In 2 A. e* + In 2 D. -e* - +C I 2 13. Evaluate f cos*x sin x dx A. Scoss, +C С. В. D. m Scos*x + C + C +C 5sin5x 5sin x 14. Evaluate ( Sin x dr cos?x C. sec x + ² + C A. sec x – 2x² + C B. sec x + 2x2 + C D. sec x - 15. Evaluate f e sin2x cos 2x dx A. 2ecos 2x + C 1 C. 2esin 2x В. Zecos 2x + C D. Zesin 2x +C
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage