A Question Cauchy Integral Theorem [Need Help]

[Tani]

1

 

[stapel]

I really need help on a question from Cauchy Integral theorem, I've to do it any how within 24 hours & have to explain in front of my class otherwise you don't know my teacher

Show that: \(\displaystyle \dfrac{1}{2}\, \pi\, \iota\, \oint\, \dfrac{e^{zt}}{z^2\, +\, 1}\, dz\,\) equals Sint, t>0 & C is the unit circle, |z|=3

What is "Sint"? Does this mean "sin(t)"? How does C relate to the integral?

What is the "it" that you're needing to "do"? Are you saying that you have been assigned to display the worked solution to your classmates?

Please be specific. Thank you!

 

[stapel]

I even don't know what does it mean by unit circle....

You're doing differential equations, and you've never even done trig? Ouch! This suggests that you need weeks, perhaps months, of instruction. It's doubtful that this can be provided within this environment. Sorry.