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. Identify the integrand of the expression
.
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_2_latek_1.png)
-7
10
y
(y2 + 3y)
Q. Find
.
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_2_latek_2.png)
24
28
30
52
Q. Find
.
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_2_latek_4.png)
-10
-8
8
10
Q. Which of the following statements are true for all integrable real-valued functions f?
(I) is the area under the curve of f on [a, b].
(II) is the weighted area between f and the x-axis on [a, b].
(III)
(IV)
(I)
(I), (III)
(II), (IV)
(II), (III), (IV)
Q. Let g(t) be the function graphed below. What is
?
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_2_latek_11b.png)
-17
-7
3
23
Q. Consider the function f(x) graphed below.
Which of the following could be the value of ?
-32
-48
-16
-8
Q. What is the estimate of
given by TRAP(2) ?
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_2_latek_15.png)
2
7
12
26
Q. Let f (x) be the function graphed below.
If , what is the area of the shaded region?
-13
-1
1
13
Q. If
, what is a?
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_2_latek_19.png)
-8
-4
4
8
Q. Let
. This function is the same as the function y = x, except that f is undefined when x = 1. Which of the following statements is true?
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_2_latek_20.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_2_latek_21.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_2_latek_22.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_2_latek_23.png)
![](https://media1.shmoop.com/images/calculus/calc_definiteint_quiz_2_latek_24.png)