How would one integrate $$\int\sin(kx)e^{-x}dx, k\in\mathbb{R}?$$ I have tried integration by parts $$\int\sin(kx)e^{-x}dx=$$
2026-04-12 17:49:17.1776016157
How to integrate $\int\frac{\sin(kx)}{e^x}dx?$
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Hint
$$\int\frac{\sin(kx)}{e^x}dx=Im\left(\int e^{-x+ikx}dx\right)$$