Question Detail
Question
Find the area between the curve y = x2 and the x-axis between x1=0 and x2=2.
Correct Answer
Option C is the correct answer.
Detailed Explanation
To find the area between the curve y = x2 and the x-axis from x=0 to x=2, we evaluate the definite integral:Area = ∫02 x2 dxIntegrate x2: ∫ x2 dx = x3/3Now, evaluate the definite integral:Area = [x3/3]02 = (23/3) - (03/3)Area = (8/3) - 0 = 8/3 sq. units.
Hint
The area under a curve f(x) from a to b is given by the definite integral ∫ab f(x) dx.