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## Homework Statement

"A particle of mass m executes one-dimensional simple harmonic oscillation

under the action of a conservative force such that its instantaneous x coordinate

is x(t) = a cos(ωt − φ).

Find the average values of x, x^2, x', and (x')2 over a single cycle of the oscillation.

Find the average values of the kinetic and potential energies of the

particle over a single cycle of the oscillation."

## Homework Equations

Average value of a function = integral of a function / interval of the integral

## The Attempt at a Solution

So I just want to make sure I can set the integral up like this:

integral from 0 to 2π (A cos(θ)) dθ

basically is it alright to convert A cos(wt - phi) ----> A cos (θ)