Problem with two trigonometric integrals

[Belgium 12]

Hi

I have a little problem with the integrals of the following functions.

integral from 0to 2pi ∫sin^2(nθ+ψ)dθ=∫cos^2(nθ+ψ)dθ=pi

ψ=the phase angle.They occur in the theory of vibrations.

Is it appropriate to set ψ=0

Thank you

 

[dacruick]

In general probably not. But your bounds are 0-2pi so I would say that phase doesn't matter

 

[dacruick]

And when I say that it doesn't matter, I mean that it won't affect the value of that integral. I think that 2*pi will be divisible by the period of both of those functions regardless of n.