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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

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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 the above

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Best answer

Correct option (c) sin (3x + 4 ) + 3(x - 1) cos (3x + 4)

Explanation :

On differentiating both sides w.r.t. b,we get

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