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What is Integral Calculation of ω(n) Function about?

The document provides a solution to find a closed form for the integral ∫∞0 cos(πx)/(x+1)(x+2)...(x2+n2) dx for all n ≥ 1. It uses partial fraction decomposition to rewrite the integrand as a sum, then evaluates each integral term in the sum to obtain the closed form solution ω(n)=πΣk=1n k(-1)k-1e-kπ/(2n)!

Author

Jose

Language

EN