Question 48

Let the straight line x = b divide the area enclosed by $$y = (1 - x^2), y = 0$$ and x = 0 into two parts $$R_1(0 \leq x \leq b)$$ and $$R_2(b \leq x leq 1)$$ such that $$R_1 - R_2 = \frac{1}{4}$$. Then b equals


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