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Engineering Mathematics

Engineering Mathematics Miscellaneous
  1. If z is a complex variable, the value of
    1. 0.511 – 1.57i
    2. –0.511 + 1.57i
    3. 0.511 – 1.57i
    4. 0.511 + 1.57i
Correct Option: B

3i∫5
dz
 = In(z)3i = In 3i - In 5
z5

= In 3 + i
π
 - (ln 5 + i0)
2

[∴ In z = In r iθ where r = √x² + y², 0 argz]
= In 3 - In 5 + i
22
 = - 0.511 + 157i
14


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