The area bounded by the curves y=f(x), t...

The area bounded by the curves `y=f(x)`, the x-axis, and the ordinates `x=1` and `x=b` is `(b-1)sin(3b+4)`. Then f(x) is

A

`(x-1)cos(3x+4)`

B

`sin(3x+4)`

C

`sin(3x+4)+3(x-1)cos(3x+4)`

D

None of these

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The correct Answer is:

C

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