Given that for all real and that ,

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Given that f(3)(x)=sin⁡xf^{(3)}(x)=\sin x for all real xx and that f′′(0)=2f''(0)=2, f′(0)=0f'(0)=0, and f(0)=4f(0)=4, determine f(x)f(x).

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