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If $\int \sqrt{2} \sqrt{1 + \sin x} dx = - 4 \cos (ax + b) + C,$ then the value of a, b are respectively

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12,π4

1,π2

1,1

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Correct option is A

Let,I=∫21+sin⁡xdx=2∫sin⁡x2+cos⁡x2dx=2∫sin⁡π4+x2dx=−4cos⁡x2+π4+CBut, I=−4cos⁡(ax+b)+Con comparing' we get a=12, b=π4

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If ∫21+sin⁡xdx=−4cos⁡(ax+b)+C, then the value of a, b are respectively

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If $\int \sqrt{2} \sqrt{1 + \sin x} dx = - 4 \cos (ax + b) + C,$ then the value of a, b are respectively