An object with a mass of #7 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 1+x-xcos(x) #. How much work would it take to move the object over #x in [0, 4pi], where x is in meters?
the simple idea here is that Work = Force
The work is being done against friction, and here, we have for the friction force....
The work is being done against friction along a linear path ; and thus...
The red term can be done by IBP, ie