Thread: Whats wrong with the integration??

What wrong with the following 2 integrations:




is z bar.

I looked through it and couldn't find anything. Is there something i am missing?

Hello,

If z=a+ib, then

So when replacing in the second integral, you made a mistake

But the result corresponds to the right thing ? Oo

What would be the numerical value of each of the integrals?

Originally Posted by lacy1104

What wrong with the following 2 integrations:




is z bar.

I looked through it and couldn't find anything. Is there something i am missing?

Both of these integrals depend on the path you are taking from 0 to 1 + i. For example going from 0 to 1, then from 1 to 1 + i gives (3/2) + (1/2)i. Going along the straight line from 0 to 1 + i gives (1/2)i.

-Dan