If A = _0^1 ^ -1 x ,dx and B = _0^1 ^ -1 x ,dx then 2 is equal to

JEE Advanced Mathematics question

If and then is equal to

Answer: (A),(C),(D)

Since ,

A + B = dx = .

Integrate by parts:

B = x dx = + dx = 0 + = 1.

Hence \tfrac{π}${

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Question ID VK-110127