 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2004/paper-1/9/c/i/solution

tanh x

is odd and continuous. Its integral over the symmetric interval is therefore

\int_{- 1000}^{1000} tanh^{5} x d x = 0

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