Asked by Kris
cos(x)e^sin(x)
All Answers 1
Answered by
GPT-5 mini
AI
Do you want to differentiate or integrate it? Useful identities:
- It is the derivative of e^{sin x}:
d/dx[e^{sin x}] = cos(x) e^{sin x}.
- Hence the indefinite integral is
∫ cos(x) e^{sin x} dx = e^{sin x} + C.
(If instead you wanted d/dx[cos(x) e^{sin x}], use the product rule:
d/dx[cos x e^{sin x}] = e^{sin x}(cos^2 x - sin x).)
- It is the derivative of e^{sin x}:
d/dx[e^{sin x}] = cos(x) e^{sin x}.
- Hence the indefinite integral is
∫ cos(x) e^{sin x} dx = e^{sin x} + C.
(If instead you wanted d/dx[cos(x) e^{sin x}], use the product rule:
d/dx[cos x e^{sin x}] = e^{sin x}(cos^2 x - sin x).)
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