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Solving a numerical integration

I would like to solve an equation of this kind

NIntegrate[f[n],{n,0,x}]==0    (f[x_]=Sqrt[1+x+x^2...)

where x is the searched value, and f cannot be integrated analytically.

NSolve[NIntegrate[f[n],{n,0,x}]==0,x], tries to evaluate
NIntegrate[f[n],{n,0,x}] before assignin a numerical value to x and
returns an error.

How could this calculation be done without having to write a program
that searches the root?



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