Definite IntegrationHard

Question

The area of the region bounded in first quadrant by y = x1/3; y = - x2 + 2x + 3; y = 2x - 1 and the axis of ordinates is :

Options

A.12/55
B.55/12
C.32/55
D.none

Solution

y1 = x1/3
and y2 = - x2 + 2x + 3 = - (x - 3) (x + 1)
and y3 = 2x - 1
B(1, 1)    and   A(2, 3)
A =


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