2 integrals

2012-05-04 10:25 pm
Given a sequence a(k)=cos[(2k-1)π/n],k=1,2,3,...,n
and f(x)=[x-a(1)][x-a(2)]...[x-a(n)], evaluate
(1) ∫_[0~1] [f(x)]²/[√(1-x²)]dx
(2) ∫_[0~1] x^n f(x)/[√(1-x²)] dx
更新1:

Sorry! a(k)=cos[(2k-1)π/(2n)]

回答 (1)



收錄日期: 2021-04-23 23:24:22
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