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.)
2 answers
7x^-2*
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
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
2 answers