Thread: complex integrals

hello,
I wonder if someone can help me solve:
1.what are the singularic points of f(z)
2.how to solve the integral

thank's

Originally Posted by avazim

hello,
I wonder if someone can help me solve:
1.what are the singularic points of f(z)
2.how to solve the integral

thank's

z = 0 is a pole of order 3.

i still not so understand why it is a pol in order 3?
and after that to sole the intgeral i just need to find 2*pi*i*RES(f,0); 0 as order 3 ?

Originally Posted by avazim

i still not so understand why it is a pol in order 3?
and after that to sole the intgeral i just need to find 2*pi*i*RES(f,0); 0 as order 3 ?

To see why z = 0 is a pole of order 3, substitute the Maclaurin series for sin z and simplify ....