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Let y = f(x) be a thrice differentiable function in (–5, 5). Let the tangents to the curve y = f(x) at (1, f

1. ) and (3, f
2. ) makes angle 6 π and 4 π , respectively with positive x-axis. If 27 ( ) ∫ + 3 1 2 1 )) t ( ' f ( f "(t)dt = α + 3 β , where α , β are integers, then the value of α + β equal
3. –14
4. –16 (3) 36 (4) 26

Correct answer: –16 (3) 36 (4) 26

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