Q: Integration of e^(-t/2)cos(n2t)dt

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SUMMARY

The integration of the function e^(-t/2)cos(n2t)dt can be effectively approached using integration by parts. The suggested method involves setting u = e^(-t/2) and v as the integral of cos(n2t)dt. Applying integration by parts twice is necessary to arrive at the final solution. The limits of integration are from 0 to π, which must be considered in the final evaluation of the integral.

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Peter_L
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Hello everyone,

I haven't done calculus in a long time now and I've been reviewing some old calc books but couldnt' find anything that helps. Was wondering how to integrate this function:

e^(-t/2)cos(n2t)dt

I was thinking of using the u substitution technique but can't find a substitute for u. Any help would be fantastic.

Thanks.
 
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Limits are from 0 to pi

Limits are from 0 to pi
 
well from what i can see here, i haven't tried it myself though, so i might be wrong, but it is worth a try. integration by parts i think would work here. let u=e^-(t/2), and v=integ of cos(n2t)dt, and applying integration by parts twice i think you might get something.
sorry for not having time to do it myself first.
 

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