4- The work done by a force is: Work=force-distance. If the force is variable, we have: Work= F(x) dx where F is the force, xo is the initial and xn is the final position the force is applied. The force is measured at discrete x₁ locations as presented in the table. Calculate the work done using a suitable combination of Simpson's 1/3 and the Simpson's 3/8 rules. F(x) Xo Area Work Xn X i 0 1 2 3 4 5 6 7 608 9 10 11 Xi, m 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 F₁, N 2.595093 15.98851 39.13269 57.72181 73.00438 82.45512 95.16424 101.2026 96.65242 93.89335 81.54573 75.44009

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