Exam 4: Section 3: Integration

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Evaluate the following definite integral by the limit definition. Evaluate the following definite integral by the limit definition.

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A

Evaluate the following definite integral by the limit definition. Evaluate the following definite integral by the limit definition.

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Correct Answer:
Verified

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.

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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.

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Evaluate the integral. Evaluate the integral.   given,  given, Evaluate the integral.   given,

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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?  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?

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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.

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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. , 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. , 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. subinterval.

(Multiple Choice)
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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.

(Multiple Choice)
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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?  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?

(Multiple Choice)
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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.

(Multiple Choice)
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Evaluate the following definite integral by the limit definition. Evaluate the following definite integral by the limit definition.

(Multiple Choice)
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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.

(Multiple Choice)
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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.  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.  subinterval. Write the following limit as a definite integral on the interval   where c<sub>i </sub>is any point in the   subinterval.

(Multiple Choice)
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Evaluate the integral. Evaluate the integral.   given,  given, Evaluate the integral.   given,

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Evaluate the integral. Evaluate the integral.   given,        given, Evaluate the integral.   given,        Evaluate the integral.   given,        Evaluate the integral.   given,        Evaluate the integral.   given,

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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.  using geometric formulas. The graph of f consists of line segments, as shown in the figure. Evaluate the definite integral   using geometric formulas.

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Write the limit Write the limit   , as a definite integral on the interval   where   <sub> </sub>is any point in the   subinterval. , 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. where Write the limit   , as a definite integral on the interval   where   <sub> </sub>is any point in the   subinterval. is any point in the Write the limit   , as a definite integral on the interval   where   <sub> </sub>is any point in the   subinterval. subinterval.

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Evaluate the integral. Evaluate the integral.   given,        given, Evaluate the integral.   given,        Evaluate the integral.   given,        Evaluate the integral.   given,        Evaluate the integral.   given,

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