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Definite Integration question

2016 · Shift 1 · Q22
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  5. /2016 · Shift 1 · Q22

Definite Integration question

2016 · Shift 1 · Q22

JEE AdvancedMathematicsDefinite IntegrationNumerical+3 / −1
The total number of distinct x∈[0,1]x \in \left[ {0,1} \right]x∈[0,1] for which ∫0xt21+t4dt=2x−1\int\limits_0^x {{{{t^2}} \over {1 + {t^4}}}} dt = 2x - 10∫x​1+t4t2​dt=2x−1
Numerical answer
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