Question

The area bounded by the curve y = x(3 - x)², the x-axis and the ordinates of the maximum and minimum points of the curve is

(A) 2 sq. units 

(B) 6 sq. units 

(C) 4 sq. units 

(D) 8 sq. units

Answer 1

Answer is (C) 4 sq. units

= x (3 - x) 2 After solving, we get x = 1 and x = 3 which are points of maximum and minimum, respectively.

Now the shaded region is the required region (Fig.).