Think you’ve got your head wrapped around Definite Integrals? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. If f is an odd function and
then
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_1.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_2.png)
-10
-5
0
5
Q. If
then
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_10.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_11.png)
10
11
16
28
Q. Which of the following is equivalent to
?
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_11b.png)
None of these, necessarily.
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_12.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_13.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_14.png)
Q. Find
given that f is even and
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_16.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_17.png)
-19
-9.5
7
14
Q.
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_27.png)
0
30
-30
-60
Q. ![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_29.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_29.png)
0
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_30.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_31.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_32.png)
Q. If 2 ≤ f (x) ≤ 5 for all x in [-1, 6] then which of the following statements must be true?
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_35.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_36.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_37.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_38.png)
Q. Assume that f is odd and that
. Find
.
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_40.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_41.png)
0
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_42.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_43.png)
12
Q. The function f on the interval [-1, 1] is graphed below. Which of the indicated y-values could be the average value of f on [-1, 1]?
a
b
c
d
Q. What is the average value of the function |x| on the interval [-2, 4]?
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_50.png)
1
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_3_latek_51.png)
5