AP Calculus AB Unit 6 — Integration and Accumulation of Change Practice Test
AP Calculus AB Unit 6 — Integration and Accumulation of Change Practice Test
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Question 1 of 19
1. Question
A freight train leaves the station on a 10hour trip. The graph below shows the train’s velocity as a function of time. How far does the train travel?
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Question 2 of 19
2. Question
Use a left hand Riemann sum with 4 equal intervals to find the approximation of the area between the graph of the function and the x axis on the interval [3, 7] .
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Question 3 of 19
3. Question
The following graph shows a Riemann sum: Which of the following approximates the area between f (x) and the x axis on the interval [−5, 5] using a left Riemann sum with 10 equal subdivisions?
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Question 4 of 19
4. Question
Consider the sum 4 +25+64+ 121 . Which expression is equal to the above sum?
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Question 5 of 19
5. Question
The graph of function h is shown below. Let Evaluate f(1)
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Question 6 of 19
6. Question
This is the graph of f . let What is an appropriate calculusbased justification for the fact that g has an inflection point at x=c
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Question 7 of 19
7. Question
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Question 8 of 19
8. Question
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Question 9 of 19
9. Question
This is the graph of f. Let What is an appropriate calculusbased justification for the fact that g i concave down?
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Question 10 of 19
10. Question
Evaluate ∫_{3}^{6} [ f ( x ) +h ( x ) ] dx
.
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Question 11 of 19
11. Question
Find the area under a curve defined by the equation 5 x^{4} +3 x+7 between the x values 0 and 4.
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Question 12 of 19
12. Question
Solve using the Fundamental Theorem of Calculus.
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Question 13 of 19
13. Question
Use a change of variable (usubstitution) to evaluate the integral
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Question 14 of 19
14. Question
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Question 15 of 19
15. Question
Evaluate ∫ 3 e x dx
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Question 16 of 19
16. Question
Integrate ∫ 10 sin ( x ) dx
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Question 17 of 19
17. Question
Evaluate the definite integral. ∫_{2}^{2} f (x )dx=?
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Question 18 of 19
18. Question
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Question 19 of 19
19. Question
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