- #1
Fallen Seraph
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I'll not go into the details of the full question, because they are irrelevant to my problem.
Basically I have to integrate
\int_{0}^{\infty} exp (\iota\omega-\alpha)t dt
Which is a nice and easy integration, but it's putting in the limits that bothers me.
I simply wrote the exponent as ((\iota \omega - \alpha)t) because I didn't feel like writing an extra minus sign. I see no reason why I could not have written it
(-( \alpha -\iota \omega )t)
Which gives a finite answer when putting in the limits, whereas the first way of writing it gives an infinite answer. Could someone explain why one of these notations are incorrect?
Basically I have to integrate
\int_{0}^{\infty} exp (\iota\omega-\alpha)t dt
Which is a nice and easy integration, but it's putting in the limits that bothers me.
I simply wrote the exponent as ((\iota \omega - \alpha)t) because I didn't feel like writing an extra minus sign. I see no reason why I could not have written it
(-( \alpha -\iota \omega )t)
Which gives a finite answer when putting in the limits, whereas the first way of writing it gives an infinite answer. Could someone explain why one of these notations are incorrect?
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