jee-advanced 2016 Q52

jee-advanced · India · paper1 Indefinite & Definite Integrals Maximizing or Optimizing a Definite Integral

The total number of distinct $x \in [0,1]$ for which $\int_0^x \frac{t^2}{1+t^4}\,dt = 2x - 1$ is

The total number of distinct $x \in [0,1]$ for which $\int_0^x \frac{t^2}{1+t^4}\,dt = 2x - 1$ is