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how to solve integral equation


I have a function

fcn[x_,b1_,b2_]:= Integrate[Exp[-(b1 x1^3 + b2 x1)],{x1,0,x}]

For a given large x, and a given b2, I need to solve

fcn[xlarge,b1,b2given]==1

for b1.

Any help would be greatly appreciated.

Matt


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