For which real values of does the improper integral _ 0 ^ 1 x^ p +1

MATHEMATICS · Subjective · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

For which real values of pp does the improper integral ∫0∞1xp+1 dx\int_{0}^{\infty} \frac{1}{x^{p}+1}\, dx converge?

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