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^{2} + 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

-24

-16

-8

Q. What is the estimate of 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*?

-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?

cannot be found because *f* is discontinuous on [0,2].