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int0^1(dx)/(1+x+x^2) is equal to...

`int_0^1(dx)/(1+x+x^2)` is equal to

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if int_0^1 f(x)dx=1,int_0^1 xf(x)dx=a and int_0^1 x^2f(x)dx=a^2 , then int_0^1(a-x)^2f(x)dx is equal to