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Evaluate the following definite integral by the limit definition. Evaluate the following definite integral by the limit definition. A) B) C) D) E)


A) Evaluate the following definite integral by the limit definition. A) B) C) D) E)
B) Evaluate the following definite integral by the limit definition. A) B) C) D) E)
C) Evaluate the following definite integral by the limit definition. A) B) C) D) E)
D) Evaluate the following definite integral by the limit definition. A) B) C) D) E)
E) Evaluate the following definite integral by the limit definition. A) B) C) D) E)

Correct Answer

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B

Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. A) -158 B) 12 C) 80 D) 82 E) -160


A) -158
B) 12
C) 80
D) 82
E) -160

Correct Answer

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Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. A) B) C) D) E)


A) Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. A) B) C) D) E)
B) Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. A) B) C) D) E)
C) Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. A) B) C) D) E)
D) Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. A) B) C) D) E)
E) Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. A) B) C) D) E)

Correct Answer

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Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. A) -1 B) 1 C) 2 D) 4 E) 15


A) -1
B) 1
C) 2
D) 4
E) 15

Correct Answer

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The graph of the function The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region? A) B) C) D) E) is given below. Which of the following definite integrals yields the area of the shaded region? The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region? A) B) C) D) E)


A) The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region? A) B) C) D) E)
B) The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region? A) B) C) D) E)
C) The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region? A) B) C) D) E)
D) The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region? A) B) C) D) E)
E) The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region? A) B) C) D) E)

Correct Answer

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Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. A) 30 B) 15 C) 4 D) 34 E) -17


A) 30
B) 15
C) 4
D) 34
E) -17

Correct Answer

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B

Evaluate the following definite integral by the limit definition. Evaluate the following definite integral by the limit definition. A) 4375 B) C) 4372 D) 1125 E)


A) 4375
B) Evaluate the following definite integral by the limit definition. A) 4375 B) C) 4372 D) 1125 E)
C) 4372
D) 1125
E) Evaluate the following definite integral by the limit definition. A) 4375 B) C) 4372 D) 1125 E)

Correct Answer

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A

Write the limit Write the limit , as a definite integral on the interval where <sub> </sub>is any point in the subinterval. A) B) C) D) E) , as a definite integral on the interval Write the limit , as a definite integral on the interval where <sub> </sub>is any point in the subinterval. A) B) C) D) E) where Write the limit , as a definite integral on the interval where <sub> </sub>is any point in the subinterval. A) B) C) D) E) is any point in the Write the limit , as a definite integral on the interval where <sub> </sub>is any point in the subinterval. A) B) C) D) E) subinterval.


A) Write the limit , as a definite integral on the interval where <sub> </sub>is any point in the subinterval. A) B) C) D) E)
B) Write the limit , as a definite integral on the interval where <sub> </sub>is any point in the subinterval. A) B) C) D) E)
C) Write the limit , as a definite integral on the interval where <sub> </sub>is any point in the subinterval. A) B) C) D) E)
D) Write the limit , as a definite integral on the interval where <sub> </sub>is any point in the subinterval. A) B) C) D) E)
E) Write the limit , as a definite integral on the interval where <sub> </sub>is any point in the subinterval. A) B) C) D) E)

Correct Answer

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The graph of the function The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region? A) B) C) D) E) is given below. Which of the following definite integrals yields the area of the shaded region? The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region? A) B) C) D) E)


A) The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region? A) B) C) D) E)
B) The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region? A) B) C) D) E)
C) The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region? A) B) C) D) E)
D) The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region? A) B) C) D) E)
E) The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region? A) B) C) D) E)

Correct Answer

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Evaluate the integral. Evaluate the integral. given, A) -156 B) 156 C) 1,016 D) 24 E) 6,630 given, Evaluate the integral. given, A) -156 B) 156 C) 1,016 D) 24 E) 6,630 Evaluate the integral. given, A) -156 B) 156 C) 1,016 D) 24 E) 6,630 Evaluate the integral. given, A) -156 B) 156 C) 1,016 D) 24 E) 6,630 Evaluate the integral. given, A) -156 B) 156 C) 1,016 D) 24 E) 6,630


A) -156
B) 156
C) 1,016
D) 24
E) 6,630

Correct Answer

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Evaluate the integral. Evaluate the integral. given, A) 84 B) 1074 C) 8 D) 1346 E) 295 given, Evaluate the integral. given, A) 84 B) 1074 C) 8 D) 1346 E) 295


A) 84
B) 1074
C) 8
D) 1346
E) 295

Correct Answer

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Evaluate the integral. Evaluate the integral. given, A) -65 B) -2377 C) -66 D) -2024 E) -2025 given, Evaluate the integral. given, A) -65 B) -2377 C) -66 D) -2024 E) -2025


A) -65
B) -2377
C) -66
D) -2024
E) -2025

Correct Answer

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Evaluate the following definite integral by the limit definition. Evaluate the following definite integral by the limit definition. A) -216 B) 240 C) -240 D) 192 E) 216


A) -216
B) 240
C) -240
D) 192
E) 216

Correct Answer

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The graph of f consists of line segments, as shown in the figure. Evaluate the definite integral The graph of f consists of line segments, as shown in the figure. Evaluate the definite integral using geometric formulas. A) 4 B) 3 C) 1 D) 2 E) 5 using geometric formulas. The graph of f consists of line segments, as shown in the figure. Evaluate the definite integral using geometric formulas. A) 4 B) 3 C) 1 D) 2 E) 5


A) 4
B) 3
C) 1
D) 2
E) 5

Correct Answer

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Write the following limit as a definite integral on the interval Write the following limit as a definite integral on the interval where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E) where ci is any point in the Write the following limit as a definite integral on the interval where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E) subinterval. Write the following limit as a definite integral on the interval where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E)


A) Write the following limit as a definite integral on the interval where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E)
B) Write the following limit as a definite integral on the interval where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E)
C) Write the following limit as a definite integral on the interval where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E)
D) Write the following limit as a definite integral on the interval where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E)
E) Write the following limit as a definite integral on the interval where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E)

Correct Answer

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Evaluate the integral. Evaluate the integral. given, A) -180 B) 16 C) -10169 D) -11522 E) -179 given, Evaluate the integral. given, A) -180 B) 16 C) -10169 D) -11522 E) -179 Evaluate the integral. given, A) -180 B) 16 C) -10169 D) -11522 E) -179 Evaluate the integral. given, A) -180 B) 16 C) -10169 D) -11522 E) -179 Evaluate the integral. given, A) -180 B) 16 C) -10169 D) -11522 E) -179


A) -180
B) 16
C) -10169
D) -11522
E) -179

Correct Answer

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Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. A) B) C) D) E)


A) Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. A) B) C) D) E)
B) Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. A) B) C) D) E)
C) Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. A) B) C) D) E)
D) Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. A) B) C) D) E)
E) Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. A) B) C) D) E)

Correct Answer

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Write the limit Write the limit , as a definite integral on the interval , where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E) , as a definite integral on the interval Write the limit , as a definite integral on the interval , where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E) , where ci is any point in the Write the limit , as a definite integral on the interval , where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E) subinterval.


A) Write the limit , as a definite integral on the interval , where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E)
B) Write the limit , as a definite integral on the interval , where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E)
C) Write the limit , as a definite integral on the interval , where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E)
D) Write the limit , as a definite integral on the interval , where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E)
E) Write the limit , as a definite integral on the interval , where c<sub>i </sub>is any point in the subinterval. A) B) C) D) E)

Correct Answer

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Write the following limit as a definite integral on the interval [2 , 5], where ci is any point in the ith subinterval. Write the following limit as a definite integral on the interval [2 , 5], where c<sub>i </sub>is any point in the ith subinterval. A) B) C) D) E)


A) Write the following limit as a definite integral on the interval [2 , 5], where c<sub>i </sub>is any point in the ith subinterval. A) B) C) D) E)
B) Write the following limit as a definite integral on the interval [2 , 5], where c<sub>i </sub>is any point in the ith subinterval. A) B) C) D) E)
C) Write the following limit as a definite integral on the interval [2 , 5], where c<sub>i </sub>is any point in the ith subinterval. A) B) C) D) E)
D) Write the following limit as a definite integral on the interval [2 , 5], where c<sub>i </sub>is any point in the ith subinterval. A) B) C) D) E)
E) Write the following limit as a definite integral on the interval [2 , 5], where c<sub>i </sub>is any point in the ith subinterval. A) B) C) D) E)

Correct Answer

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