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

Question

Evaluate:

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

Sum

Solution

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

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Evaluation of Definite Integrals by Substitution

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Q 2.1 Q 1.8 Q 2.2

Chapter 19: Indefinite Integrals - Exercise 19.01 [Page 4]

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RD Sharma Mathematics [English] Class 12

Chapter 19 Indefinite Integrals
Exercise 19.01 | Q 2.1 | Page 4

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Evaluation of Definite Integrals by Substitution

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