Correct Communications Systems Integration: Approach and Tips

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SUMMARY

The discussion focuses on verifying the correctness of an integration approach involving the function e^(k*x). The user initially made a notation error by writing three 'w' symbols with subscript '0' instead of two. The correct integration of e^(k*x) is confirmed as 1/k * e^(k*x), which, when differentiated, returns to the original function, thus validating the integration process. The user seeks confirmation on their integration and differentiation steps to ensure accuracy.

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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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