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Compute Integrals

asqw121

New member
Jun 11, 2013
5
Integrate (z^3-6z^2+4)dz where the function is any curve joining -1+i to 1. Z is complex number
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Please post your progress so far so our helpers know exactly where you are stuck or what you may be doing wrong. (Nod)
 

asqw121

New member
Jun 11, 2013
5
I am trying to first separate them to integrate individual z^3dz, -6z^2dz and 4dz.

Line integral γ(t)= t*i+(1-t)*(-1-+i)
 

ZaidAlyafey

Well-known member
MHB Math Helper
Jan 17, 2013
1,667
There is no need to find a parametric representation of the curve because the function you are integrating has an anti derivative , indeed it is a polynomial . By independence of the path , the integral only depends on the initial and final points .