Question:medium
\( \int \sqrt{1 + \cos x} \, dx \) is equal to:
\( \int \sqrt{1 + \cos x} \, dx \) is equal to:
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Trigonometric identities are your best friend for integrals involving radicals. $1 + \cos x \to 2\cos^2(x/2)$ and $1 - \cos x \to 2\sin^2(x/2)$ are standard substitutions.
Updated On: May 6, 2026
- \( 2 \sin \left( \frac{x}{2} \right) + C \)
- \( \sqrt{2} \sin \left( \frac{x}{2} \right) + C \)
- \( \frac{1}{2} \sin \left( \frac{x}{2} \right) + C \)
- \( \frac{\sqrt{2}}{2} \sin \left( \frac{x}{2} \right) + C \)
- \( 2\sqrt{2} \sin \left( \frac{x}{2} \right) + C \)
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The Correct Option is
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