Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

evaluate cyclic integration of[ 3*(z)square +7z+1]dz\z+1,where c is a circle and b=mode of z+i=1,solve by using residue

evaluate  cyclic integration of[ 3*(z)square +7z+1]dz\z+1,where c is a circle and b=mode of z+i=1,solve by using residue

Grade:

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
6 years ago
Ans:
I = \oint \frac{3z^{2}+7z+1}{z+1}dz
I = \oint \frac{3z^{2}+7z+1}{(z-(-1)^{1}}dz
I = 2\pi i Residue (z=-1)f(z)
Residue (z=-1)f(z) = 3z^{2}+7z+1|_{z = -1}
Residue (z=-1)f(z) = 3(-1)^{2}+7(-1)+1 = -3
I = -6\pi i
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free