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Question

Obtain the complex integral:
Czdz
Where C is the straight line path from z=1+i to z=3+i.
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A
2
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B
4+i
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C
4+2i
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D
2+2i
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Solution

The correct option is B 4+2i
Czdz=[z22]C
Substituting the upper and lower limits, we get (3+i)2(1+i)2
=9+6i+i2(1+2i+i2)2
=9+6i112i+12
=4+2i

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