 | Chapter 5 True/False Quiz | | Chapter 6 Summary |
| Chapter 7 True/False Quiz | | Return to Quiz Index | | Return to Main Page |
The Integral
|
| Chapter 5 True/False Quiz | | Chapter 6 Summary |
| Chapter 7 True/False Quiz | | Return to Quiz Index | | Return to Main Page |
1. If F(x) is an antiderivative of f(x), then f'(x) = F(x). 
True 
False
2. If c(x) is the marginal cost function, then the cost function is C(x) = 
c(x) dx.. True False
3. When you've seen one antiderivative of f(x), you've seen them all. True False
4. The integral of a sum is the sum of the integrals. True False
5. The integral of a difference is the difference of the integrals. True False
6. The integral of a product is the product of the integrals. True False
7. The integral of a quotient is the quotient of the integrals. True False
8. 02ex dx = e2. True False
9. ex2 dx = ex2 / (2x)+C True False
10. lnx = 1/x. True False
11. ln x dx = 1/x + C True False
12. ab f(x) dx = F(b) 
F(a) ,where F is an antiderivative of f. True False
13. ab f(x) dx is the area between the graph of f and the x-axis. True False
14. If s(t) represents total sales after t months, then abs(t) dt gives the total sales from month a to month b. True False
15. The left-hand Riemann sum of a continuous function f(x) is always 
its right-hand Riemann sum. True False
16. The trapezoidal Riemann sum of a continuous function f(x) is always midway between its left-hand and right-hand sums. True False
17. 1/(4x2+x) dx = ln|4x2+x| + C True False
18. The function f(x) = ex2 has an antiderivative involving functions with which we are familiar. True False
19. The function f(x) = ex2 has no antiderivative. True False
20. If you throw a ball upwards with twice the velocity that I do, then yours will rise twice as far as mine. True False