Let

\\\\Omega

be an open subset of

C

and let

Tsub\\\\Omega

be a triangle whose interior is also contained in

\\\\Omega

. Suppose that

f

is a function holomorphic in

\\\\Omega

except possibly at a point

w

inside

T

. Prove that if

f

is bounded near

w

, then\

\\\\int_T f(z)dz=0.

6. Let be an open subset of C and let T be a triangle whose interior is also contained in . Suppose that f is a function holomorphic in except possibly at a point w inside T. Prove that if f is bounded near w, then Tf(z)dz=0