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Evaluate: ∫ √ 1 + Cos 2 X 2 D X - Mathematics

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प्रश्न

Evaluate: 

\[\int\sqrt{\frac{1 + \cos 2x}{2}}dx\]
योग
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उत्तर

\[\int\sqrt{\frac{1 + \cos 2x}{2}}dx\]
\[ \int\sqrt{\frac{\text{2 cos}^2 x}{2}}dx \left[ \therefore 1 + \cos2A = 2 \cos^2 A \right]\]
\[ = \int\ \text{cos  x dx}\]
\[ = \sin x + C\]

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अध्याय 19: Indefinite Integrals - Exercise 19.01 [पृष्ठ ४]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 19 Indefinite Integrals
Exercise 19.01 | Q 2.1 | पृष्ठ ४

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