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    • Applications of integrals

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    Question 1

    What is the area under the curve y=x2 from x=0 to x=2?

    • A

      2

    • B

      4

    • C

      8/3

    • D

      7/3

    Question 2

    What is the volume of the solid obtained by rotating the region bounded by y=x and y = 0 from x=0 to x=1 around the x-axis?

    • A

      Ļ€ā€‹/2

    • B

      Ļ€

    • C

      Ļ€/3

    • D

      2Ļ€/3

    Question 3

    What is the average value of the function f(x)=x+1 over the interval from x=1 to x=3?

    • A

      2

    • B

      2.5

    • C

      3

    • D

      3.5

    Question 4

    If the velocity of an object is given by v(t)=3t2 , what is the displacement of the object from t=0 to t=2?

    • A

      4

    • B

      6

    • C

      8

    • D

      12

    Question 5

    What is the work done by a variable force F(x)=2x over the interval from x=1 to x=3?

    • A

      2

    • B

      4

    • C

      6

    • D

      8

    There are 5 questions to complete.

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