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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

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

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