Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Application of Integrals

Question:

Find the area bounded by the parabola y = 2 - x2 and the straight line y + x = 0.

Options:

9/2

4/3

5/2

3/4

Correct Answer:

9/2

Explanation:

To get A & B, solve y = 2 - x2 and x + y = 0

⇒ A ≡ (–1, 1) & B ≡ (2, –2)

⇒ Shaded Area = $\int\limits_{-1}^2[(2-x^2)-(-x)]dx=\frac{9}{2}$