Evaluate: ∫ eˣ (sin x + cos x) dx
Evaluate: ∫ eˣ (sin x + cos x) dx
- A. eˣ sin x + C
- B. eˣ cos x + C
- C. -eˣ sin x + C
- D. eˣ (sin x - cos x) + C
Answer: A) eˣ sin x + C
Explanation: Using ∫ eˣ [f(x) + f'(x)] dx. Let f(x) = sin x, then f'(x) = cos x. The answer is eˣ sin x + C.
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