If 2 _0^1 ^ -1 x ,dx = _0^1 ^ -1 (1-x+x^2 )dx, then _0^1 ^ -1 (1-x+x^2 )dx is equal to

JEE Main 2016 Mathematics question

If , then is equal to

Answer: (2)

Let . Since throughout, the identity applies, so

(1-x+ = [2 - (1-x+ = 2 - I.

Now evaluate the

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Question ID VK-115578