let D be simple connected Domain and C be simple close curve in D.(adsbygoogle = window.adsbygoogle || []).push({});

then by cauchy integral theorm ∫(z) dz over C is zero.→let this be my 1st equation.

but by cauchy integral formula for a point (a) inside C, we can say

f(a)=(1/2∏i)[closed integral over c]∫f(z)dz/(z-a)

NOTE f(z) is analytic function in D.

but substituting [closed integral over c]∫f(z)dz=0 from equation 1,

we get f(a)=0, for all a belonging to C but which is not true.

now where i am wrong ?

i don't get the intuition behind cauchy integral therom and formula ,

would be glad if someone helped me.

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# Cauchy's integral (therom aand formula)

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