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JEE Math Practice Question

If ƒ'(x) = tan–1(secx + tanx), $$ - {\pi \over 2} < x < {\pi \over 2}$$, and ƒ(0) = 0, then ƒ(1) is equal to :

  1. A.$${1 \over 4}$$
  2. B.$${{\pi - 1} \over 4}$$
  3. C.$${{\pi + 1} \over 4}$$
  4. D.$${{\pi + 2} \over 4}$$

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