I am working through Signals and Systems Demystified on my own. I need to integrate:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\int_{-\infty}^{\infty}{sin(2t)e^{-|t|}e^{-j2\pi ft}} dt

[/tex]

I first went about dealing with the absolute value sign by using the following

[tex]

\int_{-\infty}^{\infty} e^{-|t|} dt = \int_{-\infty}^{0} e^{t} dt + \int_{0}^{\infty} e^{-t} dt

[/tex]

Going along this route seems to not work and makes me think the expansion is incorrect. Can anyone give me a pointer?

Thanks,

Sam

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# Integral with e^-|t|

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