Correct Communications Systems Integration: Approach and Tips

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The discussion centers on verifying the correctness of a communications systems integration approach. The original poster seeks guidance on their integration work, specifically questioning the accuracy of their mathematical steps. Feedback indicates that there was a minor error in notation regarding subscripts and confirms that the integration of e^(k*x) should yield 1/k * e^(k*x). The responses clarify that the integration was misapplied, and the correct differentiation proves the initial result. Overall, the conversation emphasizes the importance of careful notation and proper mathematical procedures in systems integration.
Kayne
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Hi All,

Please find the question in the attachment.

I would like to know if the intergration I have done is correct. If the intergration is correct I am not sure how to approach the rest of the question.

If someone can point me in the right direction to solves this I would appricate the help.

Thanks
 

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In the 2nd line you have written all three 'w' symbols with the subscript '0', and only two should be (this is just a written error, your math is fine).

In the 3rd line, when you integrate e^(k*x) you should get 1/k * e^(k*x), and if you were to differentiate the result with respect to x you would get k * 1/k * e^(k*x) = e^(k*x), thus proving the initial result is correct.

It looks like you have integrated e^(k*x) and gotten 1/(k*x) * e^(k*x) in both cases.
 
I have had another look taking into concideration what you have said and the answer is in the attachment. Hopefully someone can let e know if I have done this correctly

Cheers
 

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