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 
.
. -7
10
y
(y2 + 3y)
Q. Find 
.
. 24
28
30
52
Q. Find 
.
. -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 
?
?
-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) ?
given by TRAP(2) ? 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?
, what is a? -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?
. 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? 
cannot be found because f is discontinuous on [0, 2]. 
