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For x ∈ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π π − 2 , 2 , if y(x) = ∫ + + dx x sin x tan x sec ecx cos x sin ecx cos 2 , and x 2 lim y(x) − π ⎛ ⎞ → ⎜ ⎟ ⎝ ⎠ = 0 then y ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π 4 is equal to-

1. ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − 2 1 tan 2 1 1
2. 1 1 1 tan 2 2 − ⎛ ⎞ − ⎜ ⎟ ⎝ ⎠
3. ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − 2 1 tan 1
4. 1 1 1 tan 2 2 − ⎛ ⎞ − ⎜ ⎟ ⎝ ⎠

Correct answer: 1 1 1 tan 2 2 − ⎛ ⎞ − ⎜ ⎟ ⎝ ⎠

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