Area under the curveHard

Question

Let the straight line x = b divides the area enclosed by y = (1 - x)2, y = 0 and x = 0 into two parts R1(0 ≤ x ≤ b) and R2(b ≤ x ≤ 1) such that R1 - R2 = 1/4 . Then b equals

Options

A.3/4
B.1/2
C.1/3
D.1/4

Solution

           



⇒ (b - 1)3 = - 1/8 ⇒ b = 1/2

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