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

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For what values of pp does the improper integral ∫2∞1xpln⁡x dx\displaystyle\int_2^{\infty} \frac{1}{x^p \ln x} \, dx converge?

A

p≥1\displaystyle p \geq 1

B

p<1\displaystyle p < 1

C

p>1\displaystyle p > 1

D

p>0\displaystyle p > 0

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