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If f(x) =∫(x^{8}+4)/(x^{4}-2x^{2} ^{ }+2)dx andf(0)=0 then
- F(x) is an odd function
- F(x) has range R
- F(x) has at least one real root
- F(x) is a monotonic function

Kindly explain to me how all the options are correct

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