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The problem is that hkti is an unevaluated integrate expression, where t appears both in the expression to be integrated and the integration variable. The (t=something) substitution blindly substitutes something to t in both...
hkti(t=T)will becomeintegrate(sin(A*cos(2*pi*T/T) + kx), T)(i.e.integrate(sin(A*cos(2*pi*1) + kx), T), thenintegrate(sin(A+kx), T), i.e. triviallyT*sin(A+kx)). Probably not what you mean...hkti(t=0)will becomeintegrate(sin(A*cos(2*pi*0/T) + kx), 0), which is nonsense (there is no such thing as an integration with respect to a constant...).
What is the problem you are trying to solve ?
HTH,
