# The force applied against a moving object travelling on a linear path is given by #F(x)= 4x + 4#. How much work would it take to move the object over #x in [ 1, 5] #?

Work done = force x distance moved in the direction of the force.

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To find the work done in moving the object over the interval [1, 5], integrate the force function ( F(x) = 4x + 4 ) with respect to x over the interval [1, 5]. Then, evaluate the definite integral to find the total work done.

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