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Calculus Level 4

0xt21+t4 dt=2x1\large \int _0^x \frac {t^2 }{1+t^4} \ dt =2x-1 Find the number of solutions of the equation above for x(0,1] x \in ( 0, 1 ].


This is a problem from JEE-Advanced 2016 Paper-1.
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