 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2017/paper-2/2/b/solution

Taking the coefficient of

i

in the expansion from part (a), the imaginary part is

Im f = e^{- y} (x sin x + y cos x) .

 New to topics? Read the docs here!