I understand the methodology that you present in this video. However, when I apply the same techniques to a similar problem, namely the integrand ln(x+2) / ((x+5) (x+7)) evaluated from 0 to infinity, the methodology fails after a certain point. I have tried several different substitutions to shift the axis as one possible means of dealing with this integral, but so far I have not met with great success. Can you possibly include a video tutorial on how to deal with problems of this nature? Thank you.
@Medo Z I meant to ask for C_r and not C_R. I understand why C_R goes to 0 when R goes to infinity. But I am not sure why C_r goes to 0 when r goes to 0.
Can someone tell me where the log(x) of the furthest on the right integral went to?
Thank you prof Barrus...
I understand the methodology that you present in this video. However, when I apply the same techniques to a similar problem, namely the integrand ln(x+2) / ((x+5) (x+7)) evaluated from 0 to infinity, the methodology fails after a certain point. I have tried several different substitutions to shift the axis as one possible means of dealing with this integral, but so far I have not met with great success. Can you possibly include a video tutorial on how to deal with problems of this nature? Thank you.
I think your singularies lies on the contour, so that won't work
How does the integral along Cr go to 0?
@Medo Z I meant to ask for C_r and not C_R. I understand why C_R goes to 0 when R goes to infinity. But I am not sure why C_r goes to 0 when r goes to 0.
Pls, teach me why ln(i) shoudl be ipi/2.
i= e^ipi/2 so if you take natural logarithm of i you'll obtain ipi/2
@@okan3028
Now, I understand it. Thank you.
@@okan3028 complex argument for natural logarithm is not defined. Rather one can say that Log(i) = ln(mod(i)) + iπ/2 , hence Log i = iπ/2
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You are straight God.
thank you so much sir
Thank you:)
are you sure you are not the "Casually explained" guy?
Thanks!
Well put
Helpful!