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# Definite Integrals

# Definite Integrals: It's Inte-Great Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Definite Integrals**Q. Identify the integrand of the expression .

-7

10

*y*

(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].