Consider the funchion fCx) whose second derivahve is f"(X) =5X+3 Sinx If F(o) =2 Chnd f'c0)=2 what is f(x)? Jt'(x)dx=fSX+3Sinx dx f"(x)dx=5x-3COSX dx f(x) = 5X-3COSX + C %3D 3C0SX+C 2. 2=500)_3COSCO) +C =-3+€ ) 5:C dx f'CX)= BX_ ffick/dx=x3s4x+5x 300SX +5dx 3. F(x)= 5X3 38nx+5x+D %3D 570)-35in(0) + SCO) + D 3. (2=D) (ECX)=5X3SnX +5X+2 5X-35inX+5X+ 3.

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