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If f^(prime)(x)=asinx+bcosx and f^(prime...

If `f^(prime)(x)=asinx+bcosx` and `f^(prime)(0)=4,\ \ f(0)=3,\ \ f(pi/2)=5` , find `f(x)` .

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The correct Answer is:
`sin x+1`
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