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The total number of distinct x ∈ [0, 1] for which ∫(t^2/(1 + t^4)) dt for t ∈ [0,x] = 2x – 1 is ...

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The total number of distinct x ∈ [0, 1] for which ∫(t2/(1 + t4)) dt for t ∈ [0,x] = 2x – 1 is ...

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Best answer

Given, 

Let

f(x) = 0 exactly one root in [0, 1]

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