Mathematics

Mathematics

Problem

Determine the set of all real numbers pp for which the integral ∫0∞xp1+x2 dx\displaystyle \int_{0}^{\infty} \frac{x^{p}}{1+x^{2}}\,dx converges. a) p<−1p<-1 b) −1<p<1-1<p<1 c) p>−1p>-1 d) p<1p<1

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