If _ 0 ^ 2 ( 2x - 2x - x^ 2 )dx = _ 0 ^ 1 (1 - 1 - y^ 2 - y^ 2 /2)dy + _ 1 ^ 2 (2 - y^ 2 /2)dy + I, then I equal is

JEE Main 2022 Mathematics question

If , then I equal is

Answer: (3)

The left side is (the second integral is half the area of the circle ). On the right, $(1 -

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Question ID VK-035233