The total number of distinct for which _0^x t^2 1+t^4 dt = 2x - 1

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

The total number of distinct x∈[0,1]x \in [0, 1] for which ∫0xt21+t4dt=2x−1\int_0^x \frac{t^2}{1+t^4} dt = 2x - 1

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