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Consider the function f”(x) = sec^4 x + 4 with f(0) = 0 and f'(0) = 0.

What is f(x) equal to ?

Mathematics 2014 NDA Mathematics 2014 NDA 2014

Options

A

2 ln sec x /3 + tan^2x /6 + 2x^2

B

3 ln sec x /2 + cot^2x /6 + 2x^2

C

4 ln sec x /3 + sec^2x /6 + 2x^2

D

ln sec x + tan^4x /12 + 2x^2

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