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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Integral Calculus
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Q)

Integrate : $\int \sqrt {1- \sin x }dx$

$(a)\;2 \sin x + 3 \cos x +c \\(b)\;\tan x + \sec x +c \\(c)\;\sin x + \cos x +c \\ (d)\;None$

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A)
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By using Trigonometry formula :-
$\sin (2 \theta )= 2\sin \theta \cos \theta$
$\sin ^2 \theta +\cos ^2 \theta =1$
$\qquad= \int \sqrt {(- \sin x + \cos x )^2}$$dx$
$\qquad= \int (\cos x -\sin x)dx$
=>$\sin x + \cos x +c$
Hence c is the correct answer.
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