Calculate the area enclosed by the curve and the line .

Answer and explanation

Correct answer: C.

  1. Step 1: Determine the points of intersection by setting , which gives and . On the interval , the horizontal line lies above the parabola .
  2. Step 2: Set up and evaluate the definite integral using symmetry: .
Answer
.

Practise more Integral Calculus, Probability and Statistics.

Free questions with an explanation for every one, and full timed NSW HSC mock tests.