Physics · Calculus
For the improper integral I = ∫a∞ 1x√(1 + x3) dx, where a ≥ 0, select the correct statement.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1It converges for all a ≥ 0.
- 2It converges for all a > 0, but diverges for a = 0.✓
- 3It diverges for all a > 0, but converges for a = 0.
- 4It diverges for all a ≥ 0.
Correct answer
It converges for all a > 0, but diverges for a = 0.
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