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If int(cos x - sin x)/(sqrt(8-sin 2x))dx...

If `int(cos x - sin x)/(sqrt(8-sin 2x))dx = sin^(-1)((sin x + cos x)/(a)) + C`, then a =

Text Solution

Verified by Experts

The correct Answer is:
`3.00`
Let
`I=int (cos x - sin x)/(sqrt(8-sin 2x))dx`
`rArr I = int(1)/(sqrt(3^(2)-(sin x + cos x)^(2)))d(sin x + cos x)`
`rArr I = sin^(-1)((sin x + cos x)/(3))+C`
Hence. A = 3
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