Mathematics · Definite Integrals
Consider the improper integral I = 10 1√1 - x2 dx. Which of the following statements is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The integral is unbounded on [0, 1 - ε] for all ε satisfying 0 < ε < 1.
- 2The integral I is divergent.
- 3The integral is convergent and I = π4.
- 4The integral is convergent and I = π2.✓
Correct answer
The integral is convergent and I = π2.
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