Relate wavelength and energy scale

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##\delta \lambda## and ##\delta \nu## are different things, you cannot simply replace them.
 
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of course.

λ = c/ν, ν=c/λ --> do I nead to integrate over this range this time? c/λ and c/λ + c/δλ
 
some different freaquency from c/λ

or I need to define different freaquency just c/λ2

and the range will be c/λ and c/λ2
 
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