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 − cos x) + C
- D. −eˣ cos x + C
Answer: A) eˣ sin x + C
Explanation: This is of the form ∫eˣ[f(x) + f'(x)] dx = eˣ f(x) + C. Here f(x) = sin x, f'(x) = cos x. So integral = eˣ sin x + C.
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