∫lnλln(1/λ)g(4x2)(g(x)+g(−x))f(4x2)(f(x)−f(−x))dx
Given that f(x) and g(x) are both continuous functions. Does the value of the above anti-derivative depend on the value of λ?
Notations: ln(⋅) denotes the natural logarithm function.
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