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Maths Definite Integral and Area Under Curves General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

The area bounded by y = x 2 + 2 and y = 2|x| – cos π x is equal to -

2/3

8/3

4/3

1/3

Text Solution

Verified by Experts

The correct answer is:

x 2 + 2 = 2 | x | – cos π x

⇒ x 2 – 2 | x | + 2 = – cos π x

⇒ (| x | – 1) 2 + 1 = – cos π x

⇒ x = ± 1 ∴ Area = = 8/3

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