2015-2016华年一学文西我与积分支换南以一2 3.Set /(a) 4.(1)(%)Evaluate the integral by using residue theorem sin6 de (1)(7%)Find the first three nonzero terms in the Taylor expansion of f(z)around. 5-3cos 8 (2)(7%)Find and classify the isolated singularities in the extended complex plane of f(z). (3)(6%)Evaluate the integral (2)(10%)Find the Fourier transform of 1 )=x2+x+丙2015-2016 学年第一学期《复变函数与积分变换》期终考试试卷--2 3. Set 𝑓(𝑧) = 1 1−𝑠𝑖𝑛𝑧 (1) (7%) Find the first three nonzero terms in the Taylor expansion of 𝑓(𝑧) around 0. (2) (7%) Find and classify the isolated singularities in the extended complex plane of 𝑓(𝑧). (3) (6%) Evaluate the integral ∫ 𝑓(𝑧) 𝑧 𝑑𝑧 |𝑧|=2 4.(1) (10%)Evaluate the integral by using residue theorem ∫ sin 𝜃 𝑑𝜃 5 − 3 cos 𝜃 2𝜋 0 (2) (10%)Find the Fourier transform of f(x) = 1 4x2 + 4𝑥 + 5