Mathematics · Integrals
The integral ∫ √(1 + sin x) dx for x ∈ [0, π/2] is equal to:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 12(sin(x/2) + cos(x/2)) + C
- 2-2(sin(x/2) + cos(x/2)) + C
- 32(sin(x/2) - cos(x/2)) + C✓
- 42(-sin(x/2) + cos(x/2)) + C
Correct answer
2(sin(x/2) - cos(x/2)) + C
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