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Mathematics 17 Online
OpenStudy (anonymous):

How do I integrate this function?

OpenStudy (anonymous):

I don't understand how the integral of this function becomes \[\int\limits_{-T/2}^{T/2} A e^{-j2\pi ft} dt = AT(\frac{ \sin(\pi fT) }{ \pi fT }\]

OpenStudy (anonymous):

I got up to \[A/2 (\frac {e^{-j2\pi f (T/2) }} {-j2 \pi f (T/2)} - \frac {e^{-j2\pi f (-T/2) }} {-j2 \pi f (-T/2)} )\]

OpenStudy (anonymous):

ignore the 2 under the A that was a typ

OpenStudy (anonymous):

typo

OpenStudy (anonymous):

sinx = (e^(jx) - e^(-jx)) / (2jx)

OpenStudy (anonymous):

helps ?

OpenStudy (anonymous):

oh cool yeah it does thanks!

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

oh except why is it sin(pi f T) and not sin(pi f (T/2))?

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