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Indefinite Integrals — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSIndefinite Integrals2 Marks
Question
Evaluate:
$\int\sqrt{\frac{1-\cos\ 2\text{x}}{2}}\text{dx}$
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Answer

$\int\sqrt{\frac{1-\cos\ 2\text{x}}{2}}\text{dx}$
$\int\sqrt{\frac{2\sin^2\text{x}}{2}}\text{dx}\ \ [\therefore1-\cos2\text{x}=2\sin^2\text{x]}$
$=\int\sin\text{x dx}$
$=-\cos\text{x}+\text{c}$

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