3. Evaluate the integral 2² +2 Solzti (2+i)³(z-i) where C is the positively oriented circle |z + i =1 -dz

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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3. Evaluate the integral
z²+2
(2+i)³ (z-i)
where C is the positively oriented circle | z + i] = 1
4. For f(z) =
(log z)³
2² +1'
Joi
and taking the branch
of the logarithm function
-dz
log z lnr + ie, r> 0, π < 0 < T
=
Evaluate the residue of f at the singularity z = -i.
Transcribed Image Text:3. Evaluate the integral z²+2 (2+i)³ (z-i) where C is the positively oriented circle | z + i] = 1 4. For f(z) = (log z)³ 2² +1' Joi and taking the branch of the logarithm function -dz log z lnr + ie, r> 0, π < 0 < T = Evaluate the residue of f at the singularity z = -i.
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