# Homework Help: Complex Line Integral (not too hard)

1. Dec 1, 2011

### Jamin2112

1. The problem statement, all variables and given/known data

∫dz/(z4+1) integrated over the curve C1(1+i)

2. Relevant equations

The only thing we learned in this chapter is Cauchy's integral formula, so I'm assuming that comes in somehow.

3. The attempt at a solution

∫dz/(z4+1) = ∫dz/(z+1+i)(z+1-i)(z-1+i)(z-1-i)

Not bad, eh? Where do I go from here.

2. Dec 1, 2011

### susskind_leon

Look for the poles of your integrand (for which values of z is the denominator 0).
Now find out which of them lie inside of the curve.
Now apply Cauchy's formula.

3. Dec 1, 2011

### Jamin2112

Ah, I see now!