# Complex Contour Integral

1. Aug 10, 2014

### dan280291

Hi I'm really not sure how to start this question. I could do it if it was in terms of z but I'm not sure if trying to change the variable using z = x + iy is correct. If anyone could suggest a method I'd appreciate it.

∫(x3 - iy2)dz

along the path z= $\gamma(t)$ = t + it3, 0≤t≤1

Thanks

2. Aug 10, 2014

### pasmith

I think it's safe to assume that $z = x + iy$ if nothing to the contrary is given.

You have $z = \gamma(t)$ so $dz = \gamma'(t)\,dt$ and $x$ and $y$ are respectively the real and imaginary parts of $\gamma(t)$.