Mathematics · Real Analysis
For p ∈ ℝ, consider the improper integral: I p = ∫ 0 1 t p sin(t) dt Which of the following statements is true?
- 1I p is convergent for p = -1/2✓
- 2I p is divergent for p = -3/2
- 3I p is convergent for p = -2
- 4I p is divergent for p = -1
Correct answer
I p is convergent for p = -1/2
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