Question

The area bounded by y = x² + 2 and y = 2|x| – cospx is equal to –

• A. 2/3
• B. 8/3
• C. 4/3
• D. 1/3

Answer 1

Answer: (B)

8/3

Answer 2

x² + 2 = 2 | x | – cos p x

̃ x² – 2 | x | + 2 = – cos p x

̃ (| x | – 1)² + 1 = – cos p x

̃ x = ± 1\ Area = $\int _ { - 1 } ^ { 1 } \left( x ^ { 2 } + 2 - 2 | x | + \cos \pi x \right) d x$ = 8/3