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Let g (x) be a differentiable function ...

Let g (x) be a differentiable function satisfying `(d)/(dx){g(x)}=g(x) and g (0)=1` , then `g(x)((2-sin2x)/(1-cos2x))dx` is equal to

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If f(x), g(x) be twice differentiable functions on [0,2] satisfying f''(x) = g''(x) , f'(1) = 2g'(1) = 4 and f(2) = 3 g(2) = 9 , then f(x)-g(x) at x = 4 equals (A) 0 (B) 10 (C) 8 (D) 2