For what values of a in R (real numbers) is the function (1+x^2)^a in L^2
keywords: integration, integrates, integrals, integrating, double, triple, multiple, riemann integrable, lebesgue integrable© BrainMass Inc. brainmass.com October 9, 2019, 7:22 pm ad1c9bdddf
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Let . Let L= .
1. If a=0, f(x)=1 is obviously not integrable
2. if a>0, the function is Riemann-integrable in every interval [-R,R]. According to ...
Lebesgue integrability and Riemann integrability are investigated. The solution is detailed and well presented.