Question

The area (in sq. units) bounded by the parabola y = 2 – x² and the line x + y = 0 is

• (A) 1/2
• (B) 1/3
• (C) 2/9
• (D) 9/2

Answer 1

The Correct Option is D

Explanation:
$\begin{array}{rl}\text{ Required area }& ={\int }_{-1}^2(2-x^2+x)dx\\ & ={(2x-\frac{x^3}{3}+\frac{x^2}{2})}_{-1}^2\\ & =4-\frac{8}{3}+2+2-\frac{1}{3}-\frac{1}{2}\\ & =\frac{9}{2}\text{ sq.units }\end{array}$