Question: How to Find Optimum Value

Hello

I have an equation of power (P)with 3 variables. The variables are R (resistance), ω (frequency) and K (spring stifness);

I would like to find out the optimum value of R and K to maximize the comulutive value of power when the ω is varying from ω1 to ω2. To do so, I should do the following steps:

 Step 1: Calculate the integral of Power when ω is changing from ω1 to ω2 : U(R,K)= integral(P,ω1,ω2);

Step 2:  Find partial derivation of U with respect to the R : dU/dR=0;

step 3:  Find partial derivation of U with respect to the K : dU/dK=0;

Step 4:  Solve the system of equations obtained from Step 2 and Step 3 to find the Optimum Values of RL and K;

However the Maple can not follow this process and I can not come up with any result and it seems the maple can not solve the equations and to the optimization. I have attached  Optimum.mw the Maple file. I would be so thankful if someone let me know how to deal with this problem to find the omptimum values for the variables.

Many thanks

  Optimum.mw