Algo and Math

differenza di integrali in dx = a^2 / 2, dimostrarlo

∫(x/(eˣ-1))dx|-a,0 -∫(x/(eˣ-1))dx|0,a=a²/2
posso riscriverlo:
∫(x/(1-e⁻ˣ))dx|0,a -∫(e⁻ˣx/(1-e⁻ˣ))dx|0,a=∫xdx|0,a
l′integrale diviene
I=∫xdx|0,a=x²/2|0,a
I=a²/2 ∀a∈ℝ⁺
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