Question: 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

$Evaluate\ \\\\int_0^(2\\\\pi ) (1)/(2*sin(\\\\theta )+cos(\\\\theta )+3)d\\\\theta \ using the following steps.\$

Evaluate 022sin()+cos()+31d using the following steps. Using z=expi, transform the real integral above into a complex integral of some function f(z) over the unit circle C

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