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Definite Integrals

Definite Integrals

Definite Integrals: It's Inte-Great True or False

1. Identify the integrand of the expression .

-> (y2 + 3y)

2. Find . -> 28
3. Find .

-> -8

4. 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)  -> (II), (III), (IV)

5. Let g ( t ) be the function graphed below. What is ?

-> -7

6. Consider the function f ( x ) graphed below. 

Which of the following could be the value of ?

-> -24

7. What is the estimate of given by TRAP(2) ? -> 26
8. Let f ( x ) be the function graphed below. 

If, what is the area of the shaded region?

-> 13

9. If , what is a?

-> -8

10. 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? ->



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