If \[\int_{{}}^{{}}{(\sin 2x-\cos 2x)}\ dx=\frac{1}{\sqrt{2}}\sin (2x-a)+b\], then [Roorkee 1978; MP PET 2001]

\[a=\frac{5\pi }{4},\ b=\]any constant

\[a=-\frac{5\pi }{4},\ b=\]any constant

If \[\int_{{}}^{{}}{(\sin 2x-\cos 2x)}\ dx=\frac{1}{\sqrt{2}}\sin (2x-

1.	If \[\int_{{}}^{{}}{(\sin 2x-\cos 2x)}\ dx=\frac{1}{\sqrt{2}}\sin (2x-a)+b\], then [Roorkee 1978; MP PET 2001]
A.	\[a=\frac{\pi }{4},\ b=0\]
B.	\[a=-\frac{\pi }{4},\ b=0\]
C.	\[a=\frac{5\pi }{4},\ b=\]any constant
D.	\[a=-\frac{5\pi }{4},\ b=\]any constant
Answer» E.

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If \[\int_{{}}^{{}}{(\sin 2x-\cos 2x)}\ dx=\frac{1}{\sqrt{2}}\sin (2x-a)+b\], then [Roorkee 1978; MP PET 2001]

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