Quantum physics (blackbody radiation)

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Homework Statement
How to prove the solution to question number 2 equation?
Relevant Equations
Prove it to be like that.. number 2
Phone screenshot of an Indonesian-language page titled Latihan Soal listing physics exercises, including blackbody radiation, the mean value integral x-bar equals the integral of x f(x) over the integral of f(x), and f(x) = (1/5)(5 - x)^2 for 0 ≤ x ≤ 5.
 
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  • Phone screenshot of an Indonesian-language practice problem list (Latihan Soal) on physics topics, including blackbody radiation, with equations for a rate-averaged integral and a function f(x) = (1/5)(5 - x)^2 for 0 ≤ x ≤ 5.
    Screenshot_2019-08-25-14-05-51-51.png
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