AP Calculus BC : 6.13 Evaluating Improper  Integrals bc only- Exam Style questions with Answer- MCQ

Question

What are all values of p for which \(\int^{∞}_{1}\frac{1}{x^{3p+1}}dx\)  converges?

A \(p< 0\)

B \(p> −1/3\)

C \(p> 0\)

D \(p> 1\)

Answer/Explanation

 

Question

For what value of k, if any, is\(\int_{0}^{\infty }kxe^{-2x}dx=1?\)
(A)\(\frac{1}{4}\)
(B)1
(C)4
(D) There is no such value of k.

Answer/Explanation

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