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Let f(x)=[x/(1+x)+x/((1+x)(1+2x))+...+x/...

Let `f(x)=[x/(1+x)+x/((1+x)(1+2x))+...+x/((1+9x)(1+10x))]` then the value of the integral `int_(-5)^5 (f(x)+1/(1+10x))\ dx` is

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