March 1st, 2009, 07:35 PM
Let's say there's a wave with amplitude a and wavelength λ. It would then be clear the the equation used to represent this would be f(x)=a*sin(2x/λ). Suppose we want to find the ABSOLUTE area under this wave in one full wavelength. Then, we would take the area from x=0 to x=λ/2 and double it, so the integral would look like ∫(0,λ/2) a*sin(2x/λ) dx. How would you evaluate it?
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