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If int(dx)/(x+x^(2011))=f(x)+C(1) and in...

If `int(dx)/(x+x^(2011))=f(x)+C_(1)` and `int(x^(2009))/(1+x^(2010))dx=g(x)+C_(2)` where `C_(1)` and `C_(2)` are constants of integration.Let `h(x)=f(x)+g(x)`. If `h(1)=0` then `h(e)` is equal to

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