Question
Mathematics Question on Integration
If Φ(z)=c0+c1z−1, then ∮∣z∣=1z1+Φ(z)dz is
A
2πc1
B
2π(1+c0)
C
2πic1
D
2πi(1+c0)
Answer
2πi(1+c0)
Explanation
Solution
The correct answer is(B): 2πi(1+c0)
If Φ(z)=c0+c1z−1, then ∮∣z∣=1z1+Φ(z)dz is
2πc1
2π(1+c0)
2πic1
2πi(1+c0)
2πi(1+c0)
The correct answer is(B): 2πi(1+c0)