Question: Symbolic integration

hi,

I'm having trouble with the symbolic integration of a function with respect to time. The equation to be integrated does not only contain time but also some variables which are time dependent. The equation is:

M = z21 * sin( z5 * t)2

this has to be integrated with respect to time however z1 and z5 are also time dependent as they are states of a state space model:

z1dot=z2
z2dot=-1/m*(d*z2 +  k (1+A cos(z5*t))z1)
z3dot= v
z4dot=0
z5dot= v/g z24

Is there a way I can program this in maple so I can integrate the function symbolicly

 

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