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## Homework Statement

For simple harmonic motion calculate the average value of KE and PE in space and time using

[tex]\frac{1}{t_2-t_1}\int^{t_2}_{t_1}{f(t)dt[/tex] (and the similar version for space)

## The Attempt at a Solution

For time I get <KE> = 1/4 kA^2, <PE> = 1/4 kA^2 which makes sense but for space I get <KE> = 1/3 kA^2, <PE> = 1/6 kA^2

The above seems right for time not but space. Shouldn't the average values all be the same since either in space or time the same range of energies is taken by KE and PE.

However for both space and time <E> = <KE> + <PE> = 1/2 kA^2...