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(Solved): (a) Use complex integration techniques to evaluate the following integrals when a<1 : (i) ...

$(a) Use complex integration techniques to evaluate the following integrals when \( |a|<1 \) : (i) \[ \int_{0}^{2 \pi} \frac{d$

(a) Use complex integration techniques to evaluate the following integrals when

∣ a ∣ < 1

: (i)

\int_{0}^{2 π} \frac{d θ}{1 + a c o s θ}

(ii)

\int_{0}^{2 π} \frac{d θ}{( 1 + a s i n θ ) ^{2}}

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I)
we know that ,
and
substituting , to get    in terms of z.




so,

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