Find the area bounded by the curves y = 4 – x2 and y =…

Find the area bounded by the curves y = 4 – x² and y = 2x + 1

Correct Answer: Option D

Explanation

Hint:
y = 4 – x² and y = 2x + 1
=> 4 – x² = 2x + 1
=> x² + 2x – 3 = 0
(x+3)(x-1) = 0
thus x = -3 or x = 1.
Integrating x² + 2x – 3 from (-3, to 1) w.r.t x will give 31/3 = 10(1/3)