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Question

Mathematics Question on Integration

The value of Csinπz2+cosπz2(z1)(z2)dz\int\limits_C \frac{\sin\pi z^2+\cos\pi z^2}{(z-1)(z-2)}dz, where C is the circle |z|=3 is

A

4πi

B

8πi

C

2πi

D

πi

Answer

4πi

Explanation

Solution

The correct answer is(A): 4πi