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Find: Intsqrt(1 - Sin 2x) Dx, Pi/4 < X < Pi/2

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Question

Find: `intsqrt(1 - sin 2x) dx, pi/4 < x < pi/2`

Sum
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Solution

`I = int sqrt(1 - sin 2x) dx`

`I = int sqrt(sin^2 x + cos^2 x - 2sin x cos x) dx`

`I = int (sin x - cos x )dx`

`I = int  sin x dx - int cos x dx`

`I = -cos x - sin x + "C"`

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2018-2019 (March) 65/1/1

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