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AP Calculus BC/Unit 8: Applications of Integration
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Convergence of a Power of Tangent Integral

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What is the set of all values of pp for which the improper integral ∫0π/2tan⁡px dx\displaystyle\int_0^{\pi/2} \tan^p x \, dx converges?

A

−1<p<1\displaystyle -1 < p < 1

B

p>−1\displaystyle p > -1

C

p>1\displaystyle p > 1

D

p<1\displaystyle p < 1

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