Word Count : 230

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To evaluate the given integral numerically using the Residue Theorem, we start by converting it into a contour integral. The given integral is: \[ I = \int_{0}^{\pi} \frac{d\theta}{1+\sin^2\theta} \] ### Step 1: Complex Substitution We use the substitution: __________ ______ _____ ________ _________ _________ _____ ____ ________ _______ ________ _____.
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