# math

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Find a function f which satisfies the integral equation
Int(bounded from 0 to x) t*f(t)dt = Int(bounded from x to 0)(t^2+1)*f(t)dt +x

• math -

Differentiating the equation:

x*f(x)=-(x^2+1)*f(x)+1

f(x)=1/(x^2+x+1)

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