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Evaluate int_0^(2pi ) (1)/(2*sin(theta )+cos(theta )+3)dtheta using the following steps. (a) Using z=expitheta , transform the real integral above into a complex integral of
Evaluate\
\\\\int_0^(2\\\\pi ) (1)/(2*sin(\\\\theta )+cos(\\\\theta )+3)d\\\\theta
\ using the following steps.\ (a) Using
z=expi\\\\theta
, transform the real integral above into a complex integral of some\ function
f(z)
over the unit circle
C
.
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