imo class 12 indefinite integration

∫e^(sin x) cos x dx equals:

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∫e^(sin x) cos x dx equals:

  • A. e^(sin x) + C
  • B. e^(cos x) + C
  • C. sin x·e^(sin x) + C
  • D. cos x·e^(sin x) + C

Answer: A) e^(sin x) + C

Explanation: Let u = sin x, du = cos x dx. ∫eᵘ du = eᵘ + C = e^(sin x) + C.

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