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AP Calculus BC/Unit 8: Applications of Integration
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Convergence of a Parameterized Improper Integral

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For which values of pp does the improper integral ∫01xpln⁡x dx\displaystyle\int_0^{1} x^p \ln x \, dx converge?

A

p<0\displaystyle p < 0

B

p>−1\displaystyle p > -1

C

p≥−1\displaystyle p \geq -1

D

p≥0\displaystyle p \geq 0

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