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Evaluate: ∫ √ 1 − Cos 2 X 2 D X

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Question

Evaluate:

\[\int\sqrt{\frac{1 - \cos 2x}{2}}dx\]
Sum
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Solution

\[\int\sqrt{\frac{1 - \cos 2x}{2}}dx\]
`=∫ \sqrt {{2 sin_2 x }/{2}} dx`   `[∴ 1 - cos 2x = 2 sin ^2 x]`
\[ = \int\text{sin x dx}\]
\[ = - \cos x + C\]

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Chapter 18: Indefinite Integrals - Exercise 19.01 [Page 4]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 18 Indefinite Integrals
Exercise 19.01 | Q 2.2 | Page 4

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