Q. 23

B. sin (3x + 4)

C. sin (3x + 4) +3 (x – 1) cos (3x + 4)

D. none of these

Answer :

So, the area enclosed from x = 1 to x = x (say) is (x – 1) sin (3x + 4)

⇒ A = ∫f(x) dx = F(x) = (x – 1) sin (3x + 4)

⇒ f(x) = F’(x) = sin (3x + 4) + 3(x – 1) cos (3x + 4) (Using u-v rule of differentiation)

(Ans)

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B. sin (3x + 4)C. sin (3x + 4) +3 (x – 1) cos (3x + 4)D. none of these