Applications of integrals

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Question 1

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

  • 2

  • 4

  • 8/3

  • 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?

  • π​/2

  • π

  • π/3

  • 2π/3

Question 3

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

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  • 2.5

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  • 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?

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  • 6

  • 8

  • 12

Question 5

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

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  • 4

  • 6

  • 8

There are 5 questions to complete.

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