The area bounded by the curve y=f(x), X-...

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

A

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

B

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

C

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

D

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

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The correct Answer is:

A

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