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Let the slope of the tangent to a curve y = f(x) at (x, y) be given by 2 tanx(cosx – y). If the curve passes through the point ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π 0 , 4 , then the value of ydx 2 / 0 ∫ π is equal to :

1. 2 ) 2 2 ( π + −
2. 2 2 π −
3. 2 ) 2 2 ( π + +
4. 2 2 π +

Correct answer: 2 2 π −

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