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
Answer & explanation
Correct answer: option 3
y = x (3 – x)2
After solving , we get x =1 and x = 3 are points of maximum and minimum respectively.
Now the shaded region is the required region
∴ $A=\int\limits_1^3 x(3-x)^2 d x$ = 4 sq. units
