calculus

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A variable force of
7x−2
pounds moves an object along a straight line when it is x feet from the origin. Calculate the work done in moving the object from
x = 1
ft to
x = 19
ft. (Round your answer to two decimal places.)

  • calculus -

    7x^-2*

  • calculus -

    integral of F dx
    assuming that F is in exactly the direction of motion

    7 integral dx/x^2 at 19 - at 1

    -7 (1/x) at 19 - at 1

    7/1 - 7/19 = 12/19

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