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a problem about NDSolve and NIntegrate


I'm tring to solve a diffrential equation with

its upper boundary as a variable.

and then I want to integrate it, and define

it as a funcion with two variable.

However, I don't know why it doesn't work at the second step.

my equation is as following,



function f works well, however there's some problem in funcion n,

and it's confused me for a long time...,

thanks for your help!!

Best Regards!!

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